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The central spectra of massive star-forming galaxies

Published online by Cambridge University Press:  20 June 2025

Jaimie Rose Sheil*
Affiliation:
School of Physics & Astronomy, Monash University, Clayton, VIC, Australia
Michael Brown
Affiliation:
School of Physics & Astronomy, Monash University, Clayton, VIC, Australia
Virginia A. Kilborn
Affiliation:
Department of Physics & Astronomy, Swinburne University of Technology, Melbourne, VIC, Australia
Michelle Cluver
Affiliation:
Department of Physics & Astronomy, Swinburne University of Technology, Melbourne, VIC, Australia
Thomas Jarrett
Affiliation:
Institute for Astronomy, University of Hawaii at Hilo, Hilo, HI, USA Department of Astronomy, University of Cape Town, Rondebosch, Cape Town, South Africa
*
Corresponding author: Jaimie Rose Sheil; Email: jaimiersheil@gmail.com
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Abstract

We have examined the nuclear spectra of very massive star-forming galaxies at $z \sim 0$ to understand how they differ from other galaxies with comparable masses, which are typically passive. We selected a sample of 126 nearby massive star-forming galaxies ($\lt100\,\textrm{Mpc}$, $10^{11.3}\,\mathrm{M_\odot} \leq M_\textrm{stellar} \leq 10^{11.7}\,\mathrm{M_\odot}$, $1 \,\mathrm{M_\odot\,yr^{-1}}\lt \textrm{SFR} \lt13 \,\mathrm{M_\odot\,yr^{-1}}$) from the 2MRS-Bright WXSC catalogue. LEDA morphologies indicate at least 63% of our galaxies are spirals, while visual inspection of Dark Energy Survey images reveals 75% of our galaxies to be spirals with the remainder being lenticular. Of our sample 59 have archival nuclear spectra, which we have modelled and subsequently measured emission lines ([NII]${\lambda 6583}$, H$\alpha{\lambda 6563}$, [OIII]${\lambda 5008}$, and H$\beta{\lambda 4863}$), classifying galaxies as star-forming, LINERs or AGNs. Using a BPT diagram we find $83 \pm 6$% of our galaxies, with sufficient signal-to-noise to measure all 4 emission lines, to be LINERs. Using the [NII]${\lambda 6583}$/H$\alpha{\lambda 6563}$ emission line ratio alone we find that $79 \pm 6$% of the galaxies (46 galaxies) with archival spectra are LINERs, whereas just $\sim 30\%$ of the overall massive galaxy population are LINERs (Belfiore et al. 2016, MNRAS, 461, 3111). Our sample can be considered a local analogue of the Ogle et al. (2019, VizieR Online Data Catalog, p. J/ApJS/243/14; 2016, ApJ, 817, 109) sample of $z \sim 0.22$ massive star-forming galaxies in terms of selection criteria, and we find 64% of their galaxies are LINERs using SDSS spectra. The high frequency of LINER emission in these massive star-forming galaxies indicates that LINER emission in massive galaxies may be linked to the presence of gas that fuels star formation.

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Research Article
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This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (https://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution and reproduction, provided the original article is properly cited.
Copyright
© The Author(s), 2025. Published by Cambridge University Press on behalf of Astronomical Society of Australia

1. Introduction

The bimodal distribution of galaxies is well established observationally and most galaxies can be described as either blue, star-forming, spiral galaxies, or as red, passive, elliptical galaxies (e.g. Strateva et al. Reference Strateva2001; Bell et al. Reference Bell, McIntosh, Katz and Weinberg2003; Blanton et al. Reference Blanton2003; Cattaneo et al. Reference Cattaneo, Dekel, Devriendt, Guiderdoni and Blaizot2006). The colour of a galaxy is a key observable parameter, being dominated by light from the most luminous stellar population in a galaxy and therefore reflecting a galaxy’s star formation history, including starbursts and quenching (e.g. Tinsley Reference Tinsley1968; Bruzual & Charlot Reference Bruzual and Charlot2003; Buta Reference Buta, Falcón-Barroso and Knapen2013). Spiral galaxies are typically bluer in colour, indicating active star formation and an abundance of young, high mass stars (e.g. Strateva et al. Reference Strateva2001; Buta Reference Buta, Falcón-Barroso and Knapen2013), while elliptical galaxies are typically redder as they have older stellar populations of $\approx 10$ Gyr (e.g. Tinsley Reference Tinsley1968; Greene et al. Reference Greene, Murphy, Graves, Gunn, Raskutti, Comerford and Gebhardt2013). Galaxy bimodality is also a strong function of galaxy mass, with the majority of galaxies with stellar masses $\geq 10^{10.5}\,\mathrm{M_\odot}$ being elliptical galaxies without star formation (e.g. Baldry et al. Reference Baldry, Glazebrook, Brinkmann, Ivezić, Lupton, Nichol and Szalay2004; Cattaneo et al. Reference Cattaneo, Dekel, Devriendt, Guiderdoni and Blaizot2006; Kauffmann et al. Reference Kauffmann2003a; Bluck et al. Reference Bluck2020). This bimodality is also seen in the spectra of elliptical and spiral galaxies, with elliptical galaxies lacking strong emission lines and having spectra dominated by the stellar continuum of the red, old stellar population (e.g. Masters et al. Reference Masters2010), while star-forming, spiral galaxies typically have strong emission lines, in particular the star formation tracer H $\alpha{\lambda 6563}$ emitted by the gas ionised by young stars (e.g. Kennicutt Reference Kennicutt Robert1998).

Galaxy bimodality is reproduced by hierarchical galaxy formation models. Spiral galaxies may be transformed into elliptical galaxies through major mergers that destroy galaxy disks and produce quenched, elliptical galaxies (e.g. Toomre & Toomre Reference Toomre and Toomre1972; Mihos & Hernquist Reference Mihos and Hernquist1996; Zucker et al. Reference Zucker, Walker, Johnson, Gallagher, Alatalo and Tzanavaris2016; Nelson et al. Reference Nelson2017). There are several plausible mechanisms that could be responsible for truncating star-formation, including galaxy mergers, starbursts, virial accretion shocks and AGN feedback (e.g. Mihos & Hernquist Reference Mihos and Hernquist1996; Birnboim & Dekel Reference Birnboim and Dekel2003; Hopkins et al. Reference Hopkins, Somerville, Hernquist, Cox, Robertson and Li2006; Cattaneo et al. Reference Cattaneo, Dekel, Devriendt, Guiderdoni and Blaizot2006). The specific mechanism responsible for the truncation of star-formation and morphological transformation is not essential for this paper, as there are clear observational correlations between star formation, morphology and mass. Regardless of the specific astrophysics involved, star-forming galaxies (typically spirals) that populate one peak of the bimodal distribution can become passive galaxies (typically ellipticals) that populate the other peak of the bimodal distribution (e.g. Bell et al. Reference Bell2004).

Whilst most galaxies follow galaxy bimodality, there are exceptions that could be illustrative of galaxies moving between the two peaks of the bimodal distribution or that highlight when quenching can occur without morphological transformation or vice versa. These exceptions may provide insights into the conditions required for quenching and morphological transformation. Green valley galaxies fall between the two peaks of the bimodal distribution, and have lower specific star formation rates than most star-forming galaxies but are not passive (Martin et al. Reference Martin2005, Reference Martin2007). These green valley galaxies may represent galaxies that are in the process of being quenched and transforming from blue, star-forming galaxies to red, passive galaxies (e.g. Wyder et al. Reference Wyder2007; Gonçalves & Martin Reference Gonçalves and Martin2009; Nogueira-Cavalcante et al. Reference Nogueira-Cavalcante, Gonçalves, Menéndez-Delmestre and Sheth2018). Another exception are passive, spiral galaxies, which show that while morphology is correlated with star-formation, an elliptical morphology is not required to form a passive galaxy (e.g. Fraser-McKelvie et al. Reference Fraser-McKelvie, Brown, Pimbblet, Dolley, Crossett and Bonne2016; Shimakawa et al. Reference Shimakawa, Tanaka, Bottrell, Wu, Chang, Toba and Ali2022). These galaxies may also reveal the influence of bars or environment on star formation rates although no one mechanism obviously accounts for the quenching seen in these galaxies (Fraser-McKelvie et al. Reference Fraser-McKelvie, Brown, Pimbblet, Dolley and Bonne2017).

Massive star-forming galaxies are another example of exceptions to bimodality and are the topic of this paper. These galaxies are exceptional as the quenching of star formation is correlated with galaxy mass and very massive galaxies ( ${M_{{stellar}}}\gt 10^{11.3} \mathrm{M_{\odot}}$ ) are typically passive (e.g. Bell et al. Reference Bell2004; Schawinski et al. Reference Schawinski2014; Ogle et al. Reference Ogle, Lanz, Nader and Helou2016). These galaxies include massive flocculent spiral galaxies (e.g. Elmegreen Reference Elmegreen1981; Elmegreen & Elmegreen Reference Elmegreen and Elmegreen1982; Sheth et al. Reference Sheth2010; Savchenko et al. Reference Savchenko, Marchuk, Mosenkov and Grishunin2020) and super spiral and super lenticular galaxies (Ogle et al. Reference Ogle, Lanz, Nader and Helou2016, Reference Ogle, Lanz, Appleton, Helou and Mazzarella2019). A recent study by Lisenfeld et al. (Reference Lisenfeld, Ogle, Appleton, Jarrett and Moncada-Cuadri2023) examined the molecular gas in super spirals and found that these galaxies have comparable molecular gas to stellar mass ratios to lower mass galaxies. They suggest that high mass itself is not sufficient to quench a galaxy and that these super spirals have enough molecular gas present to continue to form stars and not quench. Understanding why these galaxies have spiral morphologies and continue to form stars despite their high masses may provide insights into quenching, and is a motivation for this work.

The Ogle et al. (Reference Ogle, Lanz, Nader and Helou2016, Reference Ogle, Lanz, Appleton, Helou and Mazzarella2019) super spiral galaxies have higher star formation rates (SFR), ranging from $1-30 \mathrm{M_{\odot}} \mathrm{{yr}^{-1}}$ , corresponding to specific star formation rates (sSFR) of $0.02$ $1.5\times 10^{-10} \mathrm{{yr}^{-1}}$ and different morphologies than most massive galaxies. They often have different nuclear spectra too, as Figure 1 illustrates, the $z\sim 0.3$ super spiral galaxies of Ogle et al. (Reference Ogle, Lanz, Nader and Helou2016); Ogle et al. (Reference Ogle, Lanz, Appleton, Helou and Mazzarella2019) have strong nebular emission lines with comparable [NII] ${\lambda 6583}$ /H $\alpha{\lambda 6563}$ ratios to low ionisation nuclear emission region (LINER) galaxies.

Figure 1. The SDSS spectrum of the super spiral 2MASX J07404205+4332412, which was identified by Ogle et al. (Reference Ogle, Lanz, Nader and Helou2016); Ogle et al. (Reference Ogle, Lanz, Appleton, Helou and Mazzarella2019). The redshifted H $\alpha{\lambda 6563}$ and [NII] ${\lambda 6583}$ are evident and are comparable in strength, which identifies this galaxy as a LINER.

While most very massive galaxies have little cool gas (e.g. Forman, Jones, & Tucker Reference Forman, Jones and Tucker1985), minimal star formation and consequently have absorption line spectra (e.g. Faber, Worthey, & Gonzalez Reference Faber, Worthey, Gonzalez, Barbuy and Renzini1992; Worthey, Faber, & Gonzalez Reference Worthey, Faber and Gonzalez1992), the central spectra of the Ogle et al. (Reference Ogle, Lanz, Nader and Helou2016, Reference Ogle, Lanz, Appleton, Helou and Mazzarella2019) galaxies are an exception. These galaxies show strong nebular emission lines with emission line ratios that are inconsistent with ionisation by high mass main sequence stars (Heckman Reference Heckman1980). As only 30% of typical massive galaxies are LINERs (Belfiore et al. Reference Belfiore2016), the abundance of [NII] ${\lambda 6583}$ and the high ratios of [NII] ${\lambda 6583}$ /H $\alpha{\lambda 6563}$ in the Ogle et al. (Reference Ogle, Lanz, Nader and Helou2016, Reference Ogle, Lanz, Appleton, Helou and Mazzarella2019) sample is unusual and warrants further investigation.

Low Ionisation Nuclear Emission Regions (LINERs) have strong low-ionisation emission lines at [OI] ${\lambda 6300}$ , [SII] ${\lambda 6731}$ , [NII] ${\lambda 6583}$ , and [OIII] ${\lambda 5008}$ (Heckman Reference Heckman1980). The criteria for classifying LINERs generally includes BPT diagrams (Baldwin et al. Reference Baldwin, Phillips and Terlevich1981) with specific classification criteria that have been updated with improvements in both data and theory (Kewley et al. Reference Kewley, Groves, Kauffmann and Heckman2006; Schawinski et al. Reference Schawinski, Thomas, Sarzi, Maraston, Kaviraj, Joo, Yi and Silk2007; Kewley et al. Reference Kewley, Maier, Yabe, Ohta, Akiyama, Dopita and Yuan2013). An example of such a diagram is shown in Figure 2. Emission-line ratios alone can also be used to classify LINERs which are consistent with the current BPT diagrams commonly used, typically these ratios are [NII] ${\lambda 6583}$ /H $\alpha{\lambda 6563} \geq 0.6$ and [OIII] ${\lambda 5008}$ /H $\beta{\lambda 4863} \leq3$ (Kauffmann et al. Reference Kauffmann2003b).

Figure 2. Our BPT diagram of 6dF galaxies along with commonly used galaxy classification criteria from the literature (Baldwin, Phillips, & Terlevich Reference Baldwin, Phillips and Terlevich1981). The green line from Kewley et al. (Reference Kewley, Groves, Kauffmann and Heckman2006) separates star-forming galaxies from Seyferts and LINERs, while the black dotted line from Schawinski et al. (Reference Schawinski, Thomas, Sarzi, Maraston, Kaviraj, Joo, Yi and Silk2007) separates Seyferts and LINERs. The Kauffmann criteria shows alternative cuts to classify galaxies with and the emission line ratios required for LINER classification in red, [NII] ${\lambda 6583}$ /H $\alpha{\lambda 6563} \gt 0.6$ and [OIII] ${\lambda 5008}$ /H $\beta{\lambda 4863} \lt3$ (Kauffmann et al. Reference Kauffmann2003b). The different criteria are motivated by theory and observation, producing samples with varying completeness and contamination.

If LINERs are particularly common in massive star-forming galaxies, it may be due to the presence of relatively cold gas that can be ionised by various sources. The ionisation source (or sources) that produces the observed spectra is an area of ongoing research with the two most prominent candidates being low luminosity AGN (LLAGN) and stars off the main sequence such as post-asymptotic giant branch (pAGB) stars (e.g. Binette et al. Reference Binette, Magris, Stasińska and Bruzual1994; Kauffmann et al. Reference Kauffmann2003b; Groves & Kewley Reference Groves, Kewley and Knapen2008; Ho Reference Ho2008; Coldwell et al. Reference Coldwell, Pereyra, Alonso, Donoso and Duplancic2017; Márquez et al. Reference Márquez, Masegosa, González-Martin, Hernández-Garcia, Pović, Netzer, Cazzoli and del Olmo2017; Kewley, Nicholls, & Sutherland Reference Kewley, Nicholls and Sutherland2019; Percival & James Reference Percival and James2020).

Several previous studies have investigated LINERs and their association with atomic hydrogen and molecular gas (e.g. Gallimore et al. Reference Gallimore, Baum, O’Dea, Pedlar and Brinks1999; Olsson et al. Reference Olsson, Aalto, Thomasson and Beswick2010; Parkash et al. Reference Parkash, Brown, Jarrett, Fraser-McKelvie and Cluver2019b). Galaxies with detectable cool gas will typically have accompanying star formation, but it is not clear that the presence of cool gas with accompanying star formation is a necessary condition for LINER spectra.

Kauffmann et al. (Reference Kauffmann2003b) and Kewley et al. (Reference Kewley, Groves, Kauffmann and Heckman2006) studied the host galaxy properties of low luminosity emission-line AGNs (including LINERs, which are not always distinguished from AGNs in their studies), while our study takes the contrasting approach of studying the nuclear spectra of the most massive star-forming galaxies, which may or may not host AGNs. That said, Kauffmann et al. (Reference Kauffmann2003b) do find that $\sim 30\%$ of galaxies with young stellar populations ( $\textrm{D4000} \lt1.5$ ) and high stellar masses ( $M\sim10^{11.3}\,{\rm M}_{\odot}$ ) host powerful AGNs (defined by L[OIII] > $10^{7}\,{\rm L}_{\odot}$ ). Kauffmann et al. (Reference Kauffmann2003b) has a large sample size drawn from SDSS, but is limited by a large projected aperture which may limit the detection of weaker LINERs. The Kauffmann et al. (Reference Kauffmann2003b) sample has a projected aperture diameter of $\sim5.5$ kpc at the mean redshift of $z \sim 0.1$ , while our sample has a projected diameter ranging from 0.48 to 3.18 kpc at our maximum distance of 100 Mpc, hence we may detect more weak AGNs in our sample than Kauffmann et al. (Reference Kauffmann2003b) do in their sample. For this work we focus on the nuclear spectra of very massive, local star-forming galaxies, to characterise the central spectra, be they passive, star-forming, AGNs or LINERs.

The abundance of galaxies with large [NII] ${\lambda 6583}$ peaks in the spectra of Ogle et al. (Reference Ogle, Lanz, Nader and Helou2016, Reference Ogle, Lanz, Appleton, Helou and Mazzarella2019)’s population of massive, star-forming galaxies may indicate a link between what is producing star-formation in these galaxies and the ionisation that is producing LINER emission. The existing literature suggests a strong connection between star formation in massive galaxies and the presence of LINERs, but this has yet to be confirmed systematically (e.g. Kauffmann et al. Reference Kauffmann2003b; Graves et al. Reference Graves, Faber, Schiavon and Yan2007; Belfiore et al. Reference Belfiore2016). Previous studies have large apertures such as, SDSS spectra at $z \sim 0.1$ and $z\sim 0.22$ (Kauffmann et al. Reference Kauffmann2003b; Ogle et al. Reference Ogle, Lanz, Appleton, Helou and Mazzarella2019) respectively, these samples correspond to aperture radii of $\sim$ $2.8$ kpc and $\sim$ $5.3$ kpc respectively. Therefore, aperture bias may result in the fraction of LINERs in massive star-forming galaxies being underestimated. To address this we have selected a local sample of galaxies that meet similar criteria to those of Ogle et al. (Reference Ogle, Lanz, Appleton, Helou and Mazzarella2019) so that we can compare our sample to one at higher redshift. The Ogle et al. (Reference Ogle, Lanz, Appleton, Helou and Mazzarella2019) selection criteria have stellar masses greater than $10^{11.3}\,\mathrm{M_\odot}$ and star formation rates (SFRs) greater than or equal to $1 \mathrm{M_{\odot}} \mathrm{{yr}^{-1}}$ , but unlike Ogle et al. (Reference Ogle, Lanz, Appleton, Helou and Mazzarella2019) our sample are all within $100\,\textrm{Mpc}$ of Earth. The masses in Ogle et al. (Reference Ogle, Lanz, Appleton, Helou and Mazzarella2019) are calculated using WISE $W_{1}$ photometry, assuming $M/L = 0.6$ , while we are using the Cluver et al. (Reference Cluver2014) relation with Log $(M/L) = -2.54 (W_1-W_2) - 0.17$ and since most of our galaxies have $W_1-W_2\sim0$ , we get $M/L \sim 0.676$ . Therefore, our masses are approximately 0.076 dex or 19% larger than those of Ogle et al. (Reference Ogle, Lanz, Appleton, Helou and Mazzarella2019). This is relatively small in absolute terms and small compared to the mass range of our sample, so we don’t expect this to have a major impact on our conclusions. Our sample’s star formation rates range from $1-13 \mathrm{M_{\odot}} \mathrm{{yr}^{-1}}$ with a median of 2.6 $\,\mathrm{M_{\odot}} \mathrm{{yr}^{-1}}$ while Ogle et al. (Reference Ogle, Lanz, Appleton, Helou and Mazzarella2019)’s sample ranges from $1.2-79 \mathrm{M_{\odot}} \mathrm{{yr}^{-1}}$ with a median of 7.7 $\mathrm{M_{\odot}} \mathrm{{yr}^{-1}}$ . The star formation rates in our sample are slightly lower than in Ogle et al. (Reference Ogle, Lanz, Appleton, Helou and Mazzarella2019), however they are comprised using the same star-formation rate criteria and our sample contains the highest star-formation rates in local, high mass galaxies. As can be seen in Figure 8 the galaxies in our sample and the Ogle et al. (Reference Ogle, Lanz, Appleton, Helou and Mazzarella2019) sample are comparable although at different distances.

This paper is structured as follows. In Section 2, we describe our sample selection process and criteria. In Section 3, we detail the archival spectra we have used and the way in which we have modelled these spectra and measured emission line ratios. In Section 4, we classify the galaxies in our local sample and calculate the percentage of LINERs in this population and in Section 5, discuss the implications of these classifications. Throughout this paper we use the Vega magnitude system, a Kroupa initial mass function (IMF) (Kroupa Reference Kroupa2001), and distances from the WXSC 2MRS-Bright Catalogue (Jarrett et al. Reference Jarrett, Cluver, Brown, Dale, Tsai and Masci2019; Jarrett et al. in preparation) which contains both redshift dependent and independent distances.

2. Sample selection and characterisation

Footnote a To study these massive, star-forming galaxies we utilised archival photometry and redshifts, primarily from the 6dFGS (Jones et al. Reference Jones, Peterson, Colless and Saunders2006, Reference Jones2009) and 2MASS redshift survey (2MRS; Huchra et al. Reference Huchra2012). The 2MRS includes original and archival spectra (including 6dFGS), including redshifts for 44 599 galaxies with K-band magnitudes less than 11.75 and covers 91% of the sky. Using both archival and new spectra, 2MRS provides redshifts for these galaxies and 20 860 of these galaxies with $K\lt11.25$ have visually determined or literature morphological types (Huchra et al. Reference Huchra2012).

To measure galaxy star formation rates and stellar masses we have utilised the Wide-field Infrared Survey Explorer (WISE) all sky survey, which covers four wavelength bands, $W_{1}$ , $W_{2}$ , $W_{3}$ , and $W_{4}$ at 3.4, 4.6, 12, and, 23 $\unicode{x03BC}$ m respectively. The $W_{1}$ and $W_{2}$ bands trace the continuum emission from evolved stellar populations, typically K and M type stars, and hence are good indicators of the stellar mass in a galaxy (e.g. Cluver et al. Reference Cluver2014), as well as AGNs creating a hot dust signature (e.g. Jarrett et al. Reference Jarrett2011; Stern et al. Reference Stern2012; Jarrett et al. Reference Jarrett2013). The $W_{3}$ and $W_{4}$ bands are sensitive to star formation history within the galaxy, due to them detecting warm dust (Jarrett et al. Reference Jarrett2011; Cluver et al. Reference Cluver, Jarrett, Dale, Smith, August and Brown2017).

The brightest sources in the 2MRS ( $K_{\mathrm{s(total)}}\lt10.5$ ) had their WISE photometry accurately measured for the WISE Extended Source Catalogue (WXSC; Jarrett et al. Reference Jarrett, Cluver, Brown, Dale, Tsai and Masci2019) and as part of the 2MRS-Bright WXSC catalogue (Jarrett et al. in preparation). The 2MRS-Bright WXSC catalogue contains WISE and 2MRS data for $\sim10\,000$ galaxies as well as derived quantities such as the $W_{1}-W_{2}$ and $W_{2}-W_{3}$ colours (shown in Figure 3), $W_{1}$ magnitude, k-corrected fluxes, and morphologies, which can be used to study the properties of these galaxies (Jarrett et al. Reference Jarrett2013; Cluver et al. Reference Cluver, Jarrett, Dale, Smith, August and Brown2017; Jarrett et al. Reference Jarrett, Cluver, Brown, Dale, Tsai and Masci2019; Parkash et al. Reference Parkash, Brown, Jarrett and Bonne2019a).

Figure 3. The WISE colour-colour diagram for all 2MRS-Bright galaxies (grey) and for our local, massive, star-forming sample of galaxies (coloured). Our sample lies in the spiral region of the $W_{1}-W_{2}$ against $W_{2}-W_{3}$ plot, which reflects that these galaxies have some star-formation present, as we selected for. We do not have an AGN locus for this plot currently as it is part of the ongoing work by Jarrett et al. (in preparation). There is one Seyfert shown in this plot in purple, classified by emission line width, MRK1239, and one galaxy, 2MASX J22444577+3327381, which lies below the rest of our sample due to a star contaminating the $W_{1}-W_{2}$ colour. However, with these two exceptions, the local sample of massive, star-forming galaxies have very uniform colours and fall just below the star-forming main sequence (SFMS) (Chang et al. Reference Chang, van der Wel, da Cunha and Rix2015).

The global stellar mass and star formation rate are estimated from the WISE mid-infrared photometry, where the short wavelength bands of WISE are sensitive to the stellar component and the longer wavelengths to star formation (Jarrett et al. Reference Jarrett2013). We determined the stellar masses using the calibration of Cluver et al. (Reference Cluver2014), where the stellar mass-to-light ratio is a function of the $W_{1}-W_{2}$ colour (Equation 1). The stellar mass hence follows, with uncertainties (10–20%) propagating from the stellar mass calibration and WISE photometry. For the star formation rate, we use the calibration from Cluver et al. (Reference Cluver, Jarrett, Dale, Smith, August and Brown2017), where the mid-infrared luminosity ( $W_{3}$ and $W_{4}$ bands) is tightly correlated to the total-infrared luminosity (Equation 2). Typical uncertainties, from the star formation rate calibration and photometric measurements, are from 20 to 40%.

We select a sample of massive star-forming galaxies that have stellar masses greater than $\textrm{M}_{\textrm{stellar}}\gt10^{11.3} \mathrm{M_\odot}$ and star formation rates of SFR $\gt1 \mathrm{M_{\odot}} \mathrm{{yr}^{-1}}$ from the 2MRS-Bright WXSC catalogue (Jarrett et al, in prep.). Our selection criteria is comparable to the $z \sim{0.22}$ super-spiral selection criteria used by Ogle et al. (Reference Ogle, Lanz, Appleton, Helou and Mazzarella2019) so that our sample is consistent with the literature on super spirals. The exact mass criteria for super spiral and lenticular populations in Ogle et al. (Reference Ogle, Lanz, Appleton, Helou and Mazzarella2019) are $10^{11.3}\lt {M}_{\textrm{stellar}} \lt10^{12.3} \mathrm{M_\odot}$ and $1\lt$ SFR $\lt30 \mathrm{M_{\odot}} \mathrm{{yr}^{-1}}$ , but as there are few massive galaxies with SFRs greater than $30 \mathrm{M_{\odot}} \mathrm{{yr}^{-1}}$ or stellar masses greater than $10^{12.3} \mathrm{M_\odot}$ , we take our criteria from the lower bounds of mass and star-formation rates. The range of SFRs in our sample is $1\lt$ SFR $\leq 13 \mathrm{M_{\odot}} \mathrm{{yr}^{-1}}$ (Mrk 1239 has a SFR $_{12\,\unicode{x03BC}{\rm m}}$ of 37 $\mathrm{M_{\odot}} \mathrm{{yr}^{-1}}$ but we believe this is due to AGN dust contamination) and our masses range from $10^{11.3}\lt {M}_{\textrm{stellar}} \leq10^{11.7} \mathrm{M_\odot}$ . To calculate the stellar mass we use the following equations for low redshift sources from Cluver et al. (Reference Cluver2014):

(1) \begin{equation} \mathrm{log_{10}}\left(\frac{M_{\textrm{stellar}}}{L_{W_1}}\right) = -2.54\times(W_1-W_2) - 0.17 \end{equation}

where ${L_{W_1}}$ is the ${W_1}$ luminosity in Solar units, ${M_{\rm Sun}} = 3.24 $ , ${M_{W_{1_{\rm abs}}}}$ is the absolute magnitude of the galaxy in $W_1$ and $W_1 -W_2$ is the rest frame colour of the galaxy. Similarly we use the following relation from Cluver et al. (Reference Cluver, Jarrett, Dale, Smith, August and Brown2017) to calculate SFR and subsequently sSFR:

(2) \begin{equation} \begin{aligned} \mathrm{log_{10}}(SFR (\mathrm{M_{\odot} \mathrm{yr}^{-1}})) & = (0.889 \pm 0.018)\times \mathrm{log_{10}}(L_{12\,{\unicode{x03BC} {\rm m}}}(L_\odot)) \\ & - (7.76 \pm 0.15) \end{aligned} \end{equation}

From these values of SFR and mass we can select galaxies that match our selection criteria of stellar mass $\geq10^{11.3} \mathrm{M_\odot}$ , SFR $\gt1 \mathrm{M_{\odot}} \mathrm{{yr}^{-1}}$ , and distance $\lt100$ Mpc. This provides a sample of 126 galaxies, which is shown in Figure 4. As there is no infrared excess in Figure 3 there is no reason to think that hot dust is substantially inflating either the mass or the SFR. In Figure 15 of Yao et al. (Reference Yao2020) the AGNs are well separated in $W1-W2$ with values over 0.6. While in our sample the maximum value of $W1-W2$ is 0.15 with the vast majority being near 0. Given this and that the global wise colours are not contaminated, we don’t believe AGNs are significantly contaminating our sample. These galaxies are local and hence are easier to study in detail compared to similar high redshift samples, e.g. Ogle et al. (Reference Ogle, Lanz, Nader and Helou2016, Reference Ogle, Lanz, Appleton, Helou and Mazzarella2019). One galaxy, 2MASX J03370047+3240081, has been excluded from the sample as its photometry is contaminated with Galactic Cirrus. The sample of local galaxies, along with their observed and derived properties, are summarised in Table 3.

Figure 4. The sample for this paper consists of 126 galaxies with $M_{\textrm{stellar}} \geq10^{11.3} \mathrm{M_\odot}$ , SFR $\gt1 \mathrm{M_{\odot}} \mathrm{{yr}^{-1}}$ , and distance $ \lt100$ Mpc (red), selected from the 2MRS-Bright < 100 Mpc sample (purple). The region the sample space populates against the wider selection of galaxies can be seen, with our sample being both massive and star-forming, which distinguishes them from typical galaxies and makes them the local analogue to the Ogle et al. (Reference Ogle, Lanz, Nader and Helou2016, Reference Ogle, Lanz, Appleton, Helou and Mazzarella2019) sample. We also show the $\sim 47\%$ of galaxies that have archival spectra (blue) and the remaining galaxies in the sample for which there is no available spectra.

3. Spectra

To determine the abundance of LINERs in the most massive nearby star-forming galaxies, we have collated as many archival optical spectra of our sample galaxies as possible. We have used archival spectra from SDSS (Alam et al. Reference Alam2015), 2MRS FAST spectra (Huchra et al. Reference Huchra2012), 6dFGS (Jones et al. Reference Jones, Peterson, Colless and Saunders2006, Reference Jones2009), and the Ho et al. (Reference Ho, Filippenko and Sargent1995) sample of nearby active galaxies. The Sloan Digital Sky Survey (SDSS) covers over one third of the sky using fibre fed spectrographs with fibre diameters of 3 $^{\prime\prime}$ and 2 $^{\prime\prime}$ with the SDSS and BOSS spectrographs, respectively. Both spectrographs have sufficient wavelength coverage to measure the Balmer series, [OIII] ${\lambda 5008}$ and [NII] ${\lambda 6583}$ for nearby galaxies, which are required to classify LINERs with the Kauffmann et al. (Reference Kauffmann2003b), Kewley et al. (Reference Kewley, Groves, Kauffmann and Heckman2006), Schawinski et al. (Reference Schawinski, Thomas, Sarzi, Maraston, Kaviraj, Joo, Yi and Silk2007) criterion. The Six-degree Field Galaxy Survey (6dFGS) also uses a fibre fed multi-object spectrograph, it has fibre size of 6.7 $^{\prime\prime}$ and has taken 136 304 spectra of 125 071 galaxies with $\mathrm{K_s} \lt12.65$ . The 6dFGS sample spans over 83% of the southern sky, $|b|\gt10^{\circ}$ and use two gratings, V and R to cover a wavelength range of 4 000–7 500 Å making them ideal for our measurements and providing us with the majority of our spectra.

The sample of spectra in Ho et al. (Reference Ho, Filippenko and Sargent1995) is largely sourced from the 1995 Palomar spectroscopic survey of nearby galaxies which was designed to gather spectra for bright, local galaxies that were thought to host AGNs. Given this goal, the wavelength range, 6 210–6 860 Å and 4 230–5 110 Å, is narrower than the previously discussed spectra. This survey collected long slit spectra for 486 northern galaxies with magnitudes $B_{T}\leq12.5$ and while it contains many bright AGN sources, it can also be used to search for LINERs. Finally, the 2MRS FAST survey collected optical spectra for 11 600 galaxies most of which have $\mathrm{K_s}\leq 11.75$ . This survey has a wavelength range of 3 500–7 400 Å which again is suitable for this work.

Together these surveys provide 59 unique heterogeneous slit and fibre spectra for our sample. The range of aperture sizes are shown in Table 1 and span $0.24-1.62$ kpc for our furthest galaxies at 100 Mpc, this may result in aperture bias increasing our chance of detecting faint AGNs compared to samples like Kauffmann et al. (Reference Kauffmann2003b) and Ogle et al. (Reference Ogle, Lanz, Nader and Helou2016); Ogle et al. (Reference Ogle, Lanz, Appleton, Helou and Mazzarella2019).The sources of each of the spectra used to study our sample are shown in Table 2. The spectra available enable us to measure [NII] ${\lambda 6583}$ , H $\alpha{\lambda 6563}$ , H $\beta{\lambda 4863}$ , and [OIII] ${\lambda 5008}$ emission lines for 47% of our sample, shown in Figure 4. The sub-sample of galaxies in our selection criteria which have available spectra is representative of the larger sample of 126 galaxies in mass, SFR as can be seen in Figure 4. The sub-sample is also representative of the larger sample in z with the sub-sample and full sample having a median redshift of 0.018, and morphology with the sub-sample being 70% spiral while the full sample is 63% spiral, as such we expect the results from the sub-sample to be true for the whole sample as well.

Table 1. Table of aperture radii at 100 Mpc for our sample which is sourced from SDSS, 6dFGS, 2MRS FAST and Ho et al. (Reference Ho, Filippenko and Sargent1995). As 100 Mpc is the upper limit of distance for our sample these are also the upper limit of aperture radii. We may be more likely to detect faint AGN nuclei with our small aperture sizes compared to Ogle et al. (Reference Ogle, Lanz, Nader and Helou2016).

Table 2. The sources of each of the spectra used to study our sample of local galaxies. Together, they provide an inhomogeneous sample of nearby, massive, star-forming galaxies for which we can measure emission lines.

3.1 Modelling spectra

As the archival spectra are inhomogeneous, have flux calibrations of varying quality, and only some have accompanying emission line measurements, we perform our own continuum subtraction and emission line measurements to produce homogenous line measurements, which we can later use to classify galaxies. We must also account for absorption lines arising from the host stellar populations, such as K-giants (Kennicutt Reference Kennicutt Robert1992), which can be significant for H $\alpha{\lambda 6563}$ .

If we don’t fit any stellar continuum model and instead simply subtract a linear correction we find that we underestimate H $\alpha{\lambda 6563}$ in-fill, which can be seen in the corrected spectra in Figure 5. The underestimation of H $\alpha{\lambda 6563}$ results in an overestimation of the number of LINERs in the sample and hence it is important to appropriately fit and subtract stellar continuum models.

Figure 5. An example of the corrections and fits applied to archival spectra of galaxies in our local sample. The top panel, shows the original spectra in red, at wavelengths surrounding the redshifted emission lines H $\alpha{\lambda 6563}$ and [NII] ${\lambda 6583}$ . The Bruzual & Charlot (Reference Bruzual and Charlot2003) model is shown in green and the scaled model is then subtracted from the original spectra, resulting in the spectra shown in blue. In the bottom panel the corrected spectra is modelled using three Gaussians and hence the emission line ratios can be measured.

We have modelled the continuum using a Bruzual & Charlot (Reference Bruzual and Charlot2003) simple stellar population model, with an age of 11 Gyr and $Z= 0.008$ . We have chosen a single model that is representative for our galaxy population rather than fitting for age and/or metallicity due to the varying quality of our spectra (particularly the flux calibration). In order to choose an appropriate model we considered that our galaxies are very massive and while they have some star-formation, the most prominent stellar populations in their (generally red) stellar bulges will be older stars. Greene et al. (Reference Greene, Murphy, Graves, Gunn, Raskutti, Comerford and Gebhardt2013) found that the average age of the stellar populations in their massive, elliptical galaxies was 10 Gyr and that these were relatively metal poor with $[Fe/H] \approx -0.5$ . Further literature such as Mehlert et al. (Reference Mehlert, Thomas, Saglia, Bender and Wegner2003) is in agreement with this range of ages, giving a mean age of elliptical galaxies in the Coma cluster of $10.5 \pm 3$ Gyr. Given these studies, we adopt a model of 11 Gyr to represent an older stellar population and a metallicity of $Z = 0.008$ , which is close to, but lower than Solar metallicity to represent the observed lower metallicity in Greene et al. (Reference Greene, Murphy, Graves, Gunn, Raskutti, Comerford and Gebhardt2013).

We tested several different Bruzual & Charlot (Reference Bruzual and Charlot2003) simple stellar population continuum models with different ages (ranging from 1.4 to 11 Gyr) and metallicities ranging from (0.008 to 0.05), to confirm our chosen Bruzual & Charlot (Reference Bruzual and Charlot2003) model is appropriate and that our sample selection is not highly sensitive to the continuum model. When we applied a continuum model with a higher metallicity, $Z = 0.02$ , and the same age as our preferred model, 11 Gyr, we found that the resulting change was insignificant around the emission lines of interest. Further increasing the metallicity to $Z = 0.05$ , while keeping the age consistent, made the absorption lines in the model deeper, producing stronger H $\alpha{\lambda 6563}$ in-fill. This pushed the galaxies towards the star-forming region of the BPT diagram and produced large residuals for individual spectra. Visually inspecting these models, we saw that they did not fit our galaxy’s stellar continuum spectra well and hence subtracting this model resulted in non-physical emission-line ratios. We also tried fitting models with the same metallicity as our preferred model, but with a younger stellar age of 5 Gyr and found that all galaxies that were classified as LINERs with our preferred model were also classified as LINERs with this stellar age. This younger model produced similar results and as literature such as Greene et al. (Reference Greene, Murphy, Graves, Gunn, Raskutti, Comerford and Gebhardt2013) predicts that the older stellar age is closer to the age of these galaxies and we see comparable fits with either model we continue to use our preferred model with $Z = 0.008$ and an age of 11 Gyr.

Using the Bruzual & Charlot (Reference Bruzual and Charlot2003) model with $Z = 0.008$ and an age of 11 Gyr, we scale it to account for the redshift at which each galaxy spectrum is measured. We then measure the mean continuum flux of the galaxy in a region (6 485–6 510 Å) that does not have emission lines, but which is close enough to H $\alpha{\lambda 6563}$ and [NII] ${\lambda 6583}$ to represent the continuum level around these emission lines. Similarly for H $\beta{\lambda 4863}$ and [OIII] ${\lambda 5008}$ we measure the continuum, however as H $\beta{\lambda 4863}$ and [OIII] ${\lambda 5008}$ are further apart, we measure the continuum flux in between the emission lines at 4 925–4 950Å, so that it is more representative of the continuum at both emission lines, respectively. We then scale the Bruzual & Charlot (Reference Bruzual and Charlot2003) model to fit this measured continuum flux, which can be seen in the top panel of Figures 5 and 6. This scaled continuum model is then subtracted from the original galaxy spectra. However, in order to account for any tilt in the galaxy spectra, which may be the result of flux calibration errors, we measure the continuum on either side of the emission lines and then correct for this tilt. We then have spectra that has a continuum level of zero, is not tilted, and for which partial in-fill of absorption lines by nebula emission are accounted for. We do not account for absorption line broadening from velocity dispersion in galaxies when modelling the continuum, as the spectral resolution of our spectra is low (6dFGS $R\sim1\,000$ ) and so the broadening from the instrument and pressure broadening will dominate over velocity dispersion broadening (Jones et al. Reference Jones2004).

Figure 6. The corrections and fits applied to archival spectra for H $\beta{\lambda 4863}$ and [OIII] ${\lambda 5008}$ emission lines. The top panel, shows the original spectra in green, the scaled Bruzual & Charlot (Reference Bruzual and Charlot2003) is shown in black and the subtracted spectra is shown in purple. The corrected spectra are then modelled using Gaussians as shown in the bottom panel, and hence the emission line ratios can be measured.

While we are fitting three Gaussians to the H $\alpha{\lambda 6563}$ , [NII] ${\lambda 6583}$ , and [NII] ${\lambda 6548}$ lines, 9 free-parameters (amplitude, $\lambda_{rest frame}$ , and $\sigma$ of each gaussian) are not required to model these emission lines. We use the lab wavelengths and one redshift for all three lines. We adopt a flux ratio of [ $6\,583$ Å]/[ $6\,548$ Å] $\sim 2.95$ which is consistent with the emission line ratio we would expect from theory (Acker et al. Reference Acker, Köppen, Samland and Stenholm1989), and we assume the two NII lines have the same $\sigma$ . We thus have 5 free parameters for the 3 emission lines ([NII] ${\lambda 6548}$ , H $\alpha{\lambda 6563}$ and [NII] ${\lambda 6583}$ ). From the corrected spectra we then measure the flux, by simultaneously fitting 3 Gaussians to the [NII] ${\lambda 6548}$ , H $\alpha{\lambda 6563}$ and [NII] ${\lambda 6583}$ emission lines, with our initial guesses for amplitude reflecting that we expect the ratio of [NII] ${\lambda 6583}$ /[NII] ${\lambda 6548}$ to be $\sim 2.95$ . We have found that fitting the three Gaussians simultaneously provides better individual fits for the emission lines as it prevents the [NII] ${\lambda 6550}$ peak from being included in or confused with the H $\alpha{\lambda 6563}$ peak. Similarly, we fit 2 independent Gaussians to the H $\beta {\lambda 4863}$ , and [OIII] ${\lambda 5008}$ emission lines as they are well separated, Figures 5 and 6, respectively. A representative selection of the heterogeneous spectra from our sample of LINERs and their respective stellar continuim subtracted spectra are shown in Appendix A.

To determine which combination of emission lines measurements we can use for the BPT classification criteria, we use a signal-to-noise threshold of 3 for each line. We determine the noise per pixel using the median absolute deviation in the same region for which we measure the continuum flux and set a noise limit for our emission lines such that we only measure emission line ratios if signal $\gt3\times \sigma_{MAD}$ , where $\sigma_{MAD}$ is the median absolute deviation of the continuum flux. When classifying galaxies using [NII] ${\lambda 6583}$ /H $\alpha{\lambda 6563}$ we only require that [NII] ${\lambda 6583}$ has a signal $\gt3\times \sigma_{MAD}$ , the reasoning behind not requiring H $\alpha{\lambda 6563}$ to also have this condition is that LINERs must have [NII] ${\lambda 6583}$ /H $\alpha{\lambda 6563} \geq 0.6$ and so having a low H $\alpha{\lambda 6563}$ doesn’t exclude galaxies from being LINERs. For galaxies that do have H $\alpha{\lambda 6563} \lt 3\times \sigma_{MAD}$ we set a limit of H $\alpha{\lambda 6563} = 3\times \sigma_{MAD}$ , which gives us a minimum value of [NII] ${\lambda 6583}$ /H $\alpha{\lambda 6563}$ . Similarly if [NII] ${\lambda 6583}$ is in emission and passes our signal to noise criteria, but H $\alpha{\lambda 6563}$ is in absorption, we take this same limit to get a minimum positive emission line ratio.

For [OIII] ${\lambda 5008}$ /H $\beta {\lambda 4863}$ we require that both emission lines have signal $\gt3\times \sigma_{MAD}$ . However, if one emission line meets this condition and the other does not, we set a limit for the weaker emission line of $3\times \sigma_{MAD}$ , which allows us to give emission line ratios for galaxies with significant [OIII] ${\lambda 5008}$ or H $\beta{\lambda 4863}$ , even if the spectra is noisy. We have found that this produces a well fitting, scaled model, and seems to reliably measure the noise. We have also observed that there is far greater noise at bluer wavelengths than around H $\alpha{\lambda 6563}$ and [NII] ${\lambda 6583}$ , which is expected as scattered light contributes to noise more at bluer wavelengths due to lower overall counts (Jones et al. Reference Jones2004).

Some of the galaxies studied in this work do not have spectra with sufficient signal-to-noise at bluer wavelengths and hence reliably measuring [OIII] ${\lambda 5008}$ /H $\beta{\lambda 4863}$ is difficult. Therefore, we pragmatically use the Kauffmann et al. (Reference Kauffmann2003b) criteria to classify galaxies where only [NII] ${\lambda 6583}$ /H $\alpha{\lambda 6563}$ is measurable. We classify galaxies based on the criteria in Figure 2 using the Kauffmann et al. (Reference Kauffmann2003b) line, corresponding to a [NII] ${\lambda 6583}$ /H $\alpha{\lambda 6563}$ ratio of $0.6$ , which is also consistent with the criteria used by Kewley et al. (Reference Kewley, Groves, Kauffmann and Heckman2006) and Kauffmann et al. (Reference Kauffmann2003b).

4. Results

Of the 59 galaxies with archival spectra, $79 \pm 6\%$ have [NII] ${\lambda 6583}$ /H $\alpha{\lambda 6563}$ emission line ratios greater than 0.6 (Kauffmann et al. Reference Kauffmann2003b) consistent with them being LINERs, and a further $12 \pm 6\%$ are made up of star-forming galaxies. The remaining $9 \pm 6\%$ of these galaxies have insufficient emission lines to measure relevant emission line ratios, which is likely made up of galaxies that are genuinely passive, or that just have very noisy spectra. The data for all galaxies, both with and without spectra, is available in a data table, an example of which is shown in Table 3.

Table 3. Example of available data table – the data table provides information for all 126 galaxies in the local sample. This data includes, RA, DEC, redshift, star-formation rate and the associated error, mass in stars, distance in Mpc, $W_{1}$ flux, $W_{2}$ flux, $W3_{PaH}$ flux, $W4_{dust}$ flux, $W_{1}-W_{2}$ , $W_{2}-W_{3}$ , $M_{W_{1}}$ , the LEDA morphologies, the source of the available spectra, the [NII]/H $\alpha$ ratio, the [OIII]/H $\beta$ ratio, and the resulting classification. This example table shows a selection of galaxies and their key data. The error in the galaxy mass (in log scale) predominantly comes from the calibration as these are bright nearby galaxies, the resulting error is $\sim 0.11$ for each galaxy. The 67 galaxies with no available archival spectra are also shown in this table with the spectral class NA. *MRK1239 has broad emission lines and so is classified as a Seyfert 1 and excluded from the BPT diagram.

For the galaxies where it was possible to measure H $\beta{\lambda 4863}$ and [OIII] ${\lambda 5008}$ we have also classified them using the Schawinski et al. (Reference Schawinski, Thomas, Sarzi, Maraston, Kaviraj, Joo, Yi and Silk2007) criteria, corresponding to a ratio of [OIII] ${\lambda 5008}$ /H $\beta{\lambda 4863}\lt3$ for LINER galaxies and [OIII] ${\lambda 5008}$ /H $\beta{\lambda 4863} \geq3$ for Seyfert galaxies. The median [OIII] ${\lambda 5008}$ /H $\beta{\lambda 4863}$ value is 0.85, which reveals that the majority of our galaxies that have available spectra and measurable emission lines are LINERs, as expected from the [NII] ${\lambda 6583}$ /H $\alpha{\lambda 6563}$ emission line ratios.

Additionally, for the galaxies for which [NII] ${\lambda 6583}$ , H $\alpha{\lambda 6563}$ , H $\beta{\lambda 4863}$ and [OIII] ${\lambda 5008}$ are all measurable, we plotted a BPT diagram, shown in Figure 7, which shows both the Kewley et al. (Reference Kewley, Groves, Kauffmann and Heckman2006), Kauffmann et al. (Reference Kauffmann2003b) and Schawinski et al. (Reference Schawinski, Thomas, Sarzi, Maraston, Kaviraj, Joo, Yi and Silk2007) criteria. This diagram reveals that while the use of different criteria changes the percentage of LINERs in the sample, the majority of galaxies in the sample are LINERs, regardless of the literature criteria used. 35 galaxies have all four emission lines with sufficient signal to noise and of these galaxies 83% (29 galaxies) are LINERs, 3% (1 galaxy) is a Seyfert, and 14% (5 galaxies) are star-forming. We have used the Kauffmann et al. (Reference Kauffmann2003b) criterion for our sample due to limitations of the archival spectra. However, the bulk of the objects selected as LINERs with the Kauffmann et al. (Reference Kauffmann2003b) criterion would also be selected as LINERs by the Kewley et al. (Reference Kewley, Groves, Kauffmann and Heckman2006) and Schawinski et al. (Reference Schawinski, Thomas, Sarzi, Maraston, Kaviraj, Joo, Yi and Silk2007) criteria. We use binomial statistics to estimate the error in our sample statistics and find that our sample is comprised of $83 \pm 6\%$ LINERs from the BPT diagram and $79 \pm 6\%$ LINERs classified with [NII] ${\lambda 6583}$ /H $\alpha{\lambda 6563}$ .

Figure 7. The BPT diagram for the 35 galaxies in our sample that have measurable emission lines from the available spectra. The black dashed line is the Kewley et al. (Reference Kewley, Groves, Kauffmann and Heckman2006) criteria and the dotted thin black line shows the criteria from Kauffmann et al. (Reference Kauffmann2003b), both of which separate HII galaxies from Seyferts and LINERs. The black dotted line separates Seyferts from LINERs from Schawinski et al. (Reference Schawinski, Thomas, Sarzi, Maraston, Kaviraj, Joo, Yi and Silk2007). As can be seen in the diagram, 29 of the galaxies in our sample are LINERs and there are only 5 star-forming and 1 Seyfert galaxies.

In Figure 8 we show the location of the emission line classifications in the stellar mass-SFR plane and we observe that the LINERs, comprising $79 \pm 6\%$ of the sample with archival spectra, are well distributed throughout our sample space. The local sample has a much higher percentage ( $79 \pm 6\%$ ) of LINERs than one might naively expect (30% in massive galaxy populations Belfiore et al. Reference Belfiore2016). This vast difference in LINER prevalence suggests there is a link between our selection criteria – massive, star-forming galaxies, and the prevalence of LINERs or that the star-formation seen in these galaxies is producing the observed LINER emission.

Figure 8. Our sample of galaxies against the wider galaxy population with our local sample divided into those with and without spectra and then further into those with that are LINERs. The LINERs clearly make up the majority of those galaxies with spectra. The SFMS by Whitaker et al. (Reference Whitaker, van Dokkum, Brammer and Franx2012) is shown in pink in the Figure and demonstrates that, as expected, our galaxies largely fall below the SFMS. We also show the Pović et al. (Reference Pović, Márquez, Netzer, Masegosa, Nordon, Pérez and Schoenell2016) LINERs which have far lower masses than our sample and the Ogle et al. (Reference Ogle, Lanz, Appleton, Helou and Mazzarella2019) sample of galaxies which we compare our sample to. Interestingly in all three samples the LINERs largely sit below the star-forming main sequence.

As one of our criteria for classifying LINERs comes from [NII] ${\lambda 6583}$ /H $\alpha{\lambda 6563}$ , we have investigated the spread of [NII] ${\lambda 6583}$ /H $\alpha{\lambda 6563}$ values over the sample. Figure 9 shows the histogram of the emission line ratios broken down by the origin of the spectra. This reveals that the classification of LINER or star-forming is not strongly dependent on the source of the spectra. It also shows that the sample as a whole has very high values of [NII] ${\lambda 6583}$ /H $\alpha{\lambda 6563}$ , with a median [NII] ${\lambda 6583}$ /H $\alpha{\lambda 6563}$ of $1.03$ , which is well above the LINER criterion of [NII] ${\lambda 6583}$ /H $\alpha{\lambda 6563} \geq 0.6$ , reflecting that the majority of the sample are LINERs.

Figure 9. The distribution of [NII] ${\lambda 6583}$ to H $\alpha{\lambda 6563}$ ratio that we use to classify LINERs is shown as well as the breakdown of this ratio based on the survey they originated from. As can be seen, the emission line ratio has no strong dependence on the survey from which the spectra is from, as expected, due to the corrections applied to all spectra. We can also see that the majority of galaxies have [NII] ${\lambda 6583}$ /H $\alpha{\lambda 6563} \geq 0.6$ , making them LINERs.

While our initial inspection of the Ogle et al. (Reference Ogle, Lanz, Appleton, Helou and Mazzarella2019) super spiral population was qualitative, we have since used the SDSS spectra available for these galaxies and our code to measure the emission line ratios for Ogle et al. (Reference Ogle, Lanz, Appleton, Helou and Mazzarella2019) in exactly the same way we did for our local sample.

We also compared the percentage of the population classified as LINERs, using the SDSS emission line measurements and our own measurements and they agree exactly, that is every galaxy classified as a LINER by the SDSS emission line measurements is also classified as a LINER by our measurements. By measuring [NII] ${\lambda 6583}$ /H $\alpha{\lambda 6563}$ ratios for spectral classification we found that 64%, of the Ogle et al. (Reference Ogle, Lanz, Appleton, Helou and Mazzarella2019) super spirals are LINERs, with a mean value of [NII] ${\lambda 6583}$ /H $\alpha{\lambda 6563} = 1.1$ , confirming that a large fraction of this population are also LINERs. While this abundance of LINERs is not quite as high as in our local sample, it is considerably greater than the expected $\approx 30\%$ in massive galaxies and strengthens a link between massive, star-forming galaxies and LINERs (Belfiore et al. Reference Belfiore2016). As the Ogle et al. (Reference Ogle, Lanz, Appleton, Helou and Mazzarella2019) sample is more distant, with a mean redshift of $z=0.22$ compared to our sample with a mean redshift of $z=0.0175$ , the extent of the galaxy included in the nuclear spectra will be greater in the Ogle et al. (Reference Ogle, Lanz, Appleton, Helou and Mazzarella2019) sample. Specifically, the mean projected diameter of the Ogle et al. (Reference Ogle, Lanz, Appleton, Helou and Mazzarella2019) sample is $\sim 10.7$ kpc while for our sample using 6dFGS spectra, the average projected diameter is $\sim3.2$ kpc. This means that the Ogle et al. (Reference Ogle, Lanz, Appleton, Helou and Mazzarella2019) study were more likely to see star-formation in their spectra than we are in our sample and we may be more likely to detect faint AGNs, although given the high percentage of LINERs in both samples, this effect does not appear to be overwhelming.

5. Discussion

Most very massive galaxies are elliptical galaxies with negligible star-formation, making up the red portion of the bimodal distribution (e.g. Baldry et al. Reference Baldry, Glazebrook, Brinkmann, Ivezić, Lupton, Nichol and Szalay2004). We have selected those very massive galaxies that break with this trend and have at least some star-formation. Given the dependence of galaxy quenching on stellar mass (e.g. Nelson et al. Reference Nelson2017) and the correlation between morphology and mass (e.g. Bell et al. Reference Bell2004), one may naively expect massive star-forming galaxies in this mass range to be LIRGs or mergers (for example, Perseus A). However, our sample has a median $12 {\unicode{x03BC}}$ m star formation rate of $2.5 \,\mathrm{M_\odot \,{yr}^{-1} }$ and are largely undisturbed with only a couple of mergers in the sample. Instead of LIRGs or mergers, we find galaxies similar to the higher redshift super spiral galaxies selected by Ogle et al. (Reference Ogle, Lanz, Nader and Helou2016, Reference Ogle, Lanz, Appleton, Helou and Mazzarella2019) on the basis of stellar mass, star formation rate and morphology. The DES images and LEDA morphologies of our sample reveal that 63% have spiral structure rather than major mergers or ellipticals. The remaining sample is comprised of 15% ellipticals and 22% lenticular galaxies, however by visually inspecting these galaxies with DES imaging, we note that some of these galaxies have spiral structure and hence the percentage of spiral galaxies is likely a lower limit. Examples of our galaxies are shown in Figure 10 and we note that when viewing our sample through high quality CCD images, such as DES, we see a higher spiral fraction than photographic images (e.g. LEDA). One example of this is shown in Figure 10 Panel 5, where 2MASX J01581817-5412568 is classified as elliptical despite spiral structure. Therefore, LEDA morphologies may overestimate the number of elliptical galaxies in a sample and we expect morphologies derived from photographic data to have more ellipticals than morphologies derived from CCD images due to poorer signal-to-noise and spatial resolution (e.g. Bamford et al. Reference Bamford2009). We also see examples of flocculent spirals in our sample such as NGC 4921 and NGC 4999, which have long been studied as massive galaxies with some ongoing star formation (e.g. Elmegreen & Elmegreen Reference Elmegreen and Elmegreen1982; Romanishin Reference Romanishin1985).

Figure 10. The available Dark Energy Survey (DES) images of galaxies in our sample with LEDA morphologies sourced by Jarrett et al. (in preparation). As can be seen these galaxies are largely disc galaxies with spiral structure and do not show signs of major mergers. The galaxy in the final panel is cropped as it sits on the edge of the DES visible field.

The majority of galaxies in our sample appear to be disc galaxies, which is surprising given the mass of these galaxies, with Kauffmann et al. (Reference Kauffmann2003a), Baldry et al. (Reference Baldry, Glazebrook, Brinkmann, Ivezić, Lupton, Nichol and Szalay2004) showing galaxies above $\sim 3 \times 10^{10}\,\mathrm{M_\odot}$ are predominately bulge dominated galaxies with old stellar populations and little star-formation. This raises the question of what has enabled these galaxies to continue to grow in mass without quenching? Examining the distribution of RA and DEC, we see no particular affinity for or absence of clusters and groups. We note that NGC 3313 is in the Hydra I Cluster, NGC 5292 is in the IC 4329 group and NGC 7761 is in a void – and hence there’s no clear trend with environment, although this is not a full environmental study, which is outside the scope of this paper. Studies such as Kauffmann et al. (Reference Kauffmann2003a) have found that the threshold for quenching is $\sim 3 \times 10^{10}\,\mathrm{M_\odot}$ , well below the masses of our galaxies. The high number of discs in our sample also confirms that this sample is a local analogue to the Ogle et al. (Reference Ogle, Lanz, Nader and Helou2016, Reference Ogle, Lanz, Appleton, Helou and Mazzarella2019) sample of massive star-forming disc galaxies, which also overwhelmingly show spiral structure, 85% of their ‘Super disc’ galaxies are spiral galaxies. The similarities between Ogle et al. (Reference Ogle, Lanz, Nader and Helou2016, Reference Ogle, Lanz, Appleton, Helou and Mazzarella2019) and our own sample are partially the result of comparable selection criteria but it isn’t necessarily expected that spiral structures should be so prevalent in samples separated by 1.3–3.4 Gyr in cosmic time. While we see no major mergers in our sample, Ogle et al. (Reference Ogle, Lanz, Nader and Helou2016) identify 4 major merger candidates and more potential minor mergers, but this difference between the two samples isn’t unexpected given the major merger rate rapidly increases with redshift (e.g. Conselice et al. Reference Conselice, Bershady, Dickinson and Papovich2003). Given the morphological composition of both samples, we believe we are seeing star formation in disks rather than star formation triggered by a merger with a relatively massive galaxy, examples of which are shown in the DES images in Figure 10. This is also supported by recent work examining the WISE properties of nearby galaxies, specifically the S4G sample (Jarrett et al. in preparation), which reveals a link between WISE $W3-W4$ colour and the geometry of star formation. Galaxies with centrally-concentrated star-formation are found to have WISE colours where $W3-W4 \gt 2$ , while galaxies with star formation spread across their disks, such as Messier 86 have $W3-W4 \lt 2$ . The mean WISE $W3-W4$ colours of our selected sample is 1.66, which supports a picture of star-formation distributed throughout the disk of our galaxies and not associated with nuclear starbursts. Given this and the DES morphologies, the majority (at least 63%) of these galaxies appear to be calm discs which are not star-bursts, or in the process of dramatic transformation.

The galaxies in our sample, are by construction, far more massive than typical spiral galaxies and have star formation, indicating the presence of cold gas. Like the Ogle et al. (Reference Ogle, Lanz, Appleton, Helou and Mazzarella2019) sample, our SFRs range from $1-13 \mathrm{M_{\odot}} \mathrm{{yr}^{-1}}$ (Mrk 1239 has a SFR $_{12\,\unicode{x03BC}{\rm m}}$ of 37 $\mathrm{M_{\odot}} \mathrm{{yr}^{-1}}$ but we believe this is due to AGN dust contamination, supported by its literature classification as a Seyfert Véron-Cetty & Véron Reference Véron-Cetty and Véron2006), and hence most of our sample will fall on or just below the star-forming main sequence, as shown in Figure 8. With a mean sSFR $ = 1.06\times 10^{-11} \,\mathrm{yr^{-1}}$ they have comparable sSFRs to galaxies in the green valley, however, the blue cloud and green valley are not well defined for galaxies at high mass ranges. The galaxies in our sample resemble green valley galaxies in specific star-formation rate and colour but are not necessarily undergoing rapid transformation. Unlike green valley galaxies they do not have a higher star-formation rate counterpart of similar mass from which they might transition to a quiescent galaxy, nor do they appear to be rapidly changing morphologically. Hence, while they may have the optical properties of green valley galaxies, such as trickles of ongoing star-formation in otherwise red galaxies, they may not be involved in the same evolutionary processes.

Modelling of the colours of super spiral galaxies by Ogle et al. (Reference Ogle, Lanz, Appleton, Helou and Mazzarella2019) indicates that they have colours and sSFRs consistent with a mixture of ongoing star-formation and old stellar populations. Our sample selects for very massive galaxies, which we expect to have older stellar populations, with some ongoing star-formation and hence we have very similar sSFRs to the Ogle et al. (Reference Ogle, Lanz, Appleton, Helou and Mazzarella2019) sample. However, the emission line ratios and spectra indicate that the gas present is being ionised by something other than young, hot stars (Heckman Reference Heckman1980; Ho Reference Ho2008; Belfiore et al. Reference Belfiore2016; Percival & James Reference Percival and James2020, and references therein), which raises the question of what the ionisation source is?

To provide insight to this question we studied the nuclear spectra of our sample, which suggests that many massive, star-forming galaxies are LINERs. While $\sim30\%$ of very massive galaxies are LINERs, we find that $\sim83\pm6\%$ of very massive star-forming galaxies are LINERs. This suggests there is a connection between LINERs in very massive galaxies and the presence of gas that fuels star formation which is consistent with prior literature (e.g. Belfiore et al. Reference Belfiore2016; Coldwell et al. Reference Coldwell, Alonso, Duplancic and Mesa2018; Graves et al. Reference Graves, Faber, Schiavon and Yan2007).

The 46 LINERs are well distributed throughout our sample space in mass and SFR. Although 17 of the 46 LINERs are classified with [NII] ${\lambda 6583}$ and H $\alpha{\lambda 6563}$ alone, of the 35 galaxies with sufficient signal-to-noise to measure H $\beta{\lambda 4863}$ and [OIII] ${\lambda 5008}$ 29 show BPT ratios consistent with LINERs. These results can be seen in the BPT diagram, Figure 7, which shows the [NII] ${\lambda 6583}$ /H $\alpha{\lambda 6563}$ against [OIII] ${\lambda 5008}$ /H $\beta{\lambda 4863}$ for all galaxies in the sample with available spectra and sufficient signal-to-noise.

The BPT diagram shows that most galaxies in our sample are LINERs regardless of the literature criteria we use. Of course, passive galaxies do not have sufficient emission lines to be apart of this diagram, but from our [NII] ${\lambda 6583}$ /H $\alpha{\lambda 6563}$ ratio alone, we know that the upper limit of galaxies with passive nuclear spectra in the sample is 9%, due to our star-forming selection criteria. Using the Cid Fernandes et al. (Reference Cid Fernandes, Stasińska, Mateus and Vale Asari2011) WHAN diagram criteria, we find only 2 galaxies in our sample meet the requirements for a passive galaxy, with equivalent widths for both [NII] ${\lambda 6583}$ and H $\alpha{\lambda 6563} \lt0.5$ . These massive, star-forming galaxies with passive, nuclear spectra are exceptions in our sample and are likely due to the projected aperture missing star-formation. However, the overall sample is made up of star-forming galaxies of which the majority are LINERs, pointing to a correlation between star-formation and the presence of LINER emission.

A breakdown of the BPT diagram shows there is one Seyfert classified by BPT emission lines and several galaxies that would be considered composite LINER-HII or Seyfert-HII galaxies by the Kewley et al. (Reference Kewley, Groves, Kauffmann and Heckman2006) criteria, but which would be considered LINERs by the Kauffmann et al. (Reference Kauffmann2003b) criteria. Our primary criteria are the red Kauffmann et al. (Reference Kauffmann2003b) lines shown in Figure 7, which represent [NII] ${\lambda 6583}$ /H $\alpha{\lambda 6563} \gt 0.6$ and [OIII] ${\lambda 5008}$ /H $\beta{\lambda 4863} \lt 3$ and by this criteria we have 5 star-forming galaxies, 1 Seyfert galaxy and 29 LINERs that are classified by both sets of emission line ratios. This means $83\pm6\%$ of galaxies on the BPT are LINERs, consistent with our proportion of LINERs classified by [NII] ${\lambda 6583}$ /H $\alpha{\lambda 6563}$ alone.

Our sample of galaxies generally have narrow emission line widths, typically $\lesssim 230 \,\mathrm{kms^{-1}}$ , which is consistent with these galaxies being LINERs and not Seyferts. There are two exceptions to this, one of which is Mrk 1239 which has been excluded from the BPT diagram as it was flagged as having wide emission lines and upon inspection NII] ${\lambda 6583}$ and H $\alpha{\lambda 6563}$ are not well separated. It has been previously classified as a Seyfert 1.5 and hence we would expect the broadened emission line region to suppress forbidden emission lines such as NII] ${\lambda 6583}$ and so we manually classify this galaxy as a Seyfert due to emission line width (Peterson Reference Peterson and Alloin2006; Véron-Cetty & Véron Reference Véron-Cetty and Véron2006). The SFR of MRK1239 should also be treated as an upper limit due to AGN dust contamination. The other Seyfert in the sample comes from the Ho et al. (Reference Ho, Filippenko and Sargent1995) sample, the original purpose of which was to search for nuclear activity in galaxies. Galaxies within this survey often have broad emission line widths and are well known Seyferts in the literature, such as NGC 4565 and our Seyfert UGC 2487. Another galaxy from this survey, NGC 6500, has emission lines broader than 5 Å, likely due to it’s the strong, central radio source, however NII] ${\lambda 6583}$ and H $\alpha{\lambda 6563}$ are able to be separately measured and our emission line ratios agree with the literature that this is a LINER galaxy (Filho, Barthel, & Ho Reference Filho, Barthel and Ho2002; Healey et al. Reference Healey, Romani, Taylor, Sadler, Ricci, Murphy, Ulvestad and Winn2007). While we know many galaxies from this survey would appear on our BPT diagram as Seyferts, only a small fraction of Ho et al. (Reference Ho, Filippenko and Sargent1995) galaxies meet our mass and SFR selection criteria and so we only see one Seyfert from this source. The other galaxies on the BPT diagram have narrow emission line widths and [OIII] ${\lambda 5008}$ /H $\beta{\lambda 4863}$ emission line ratios inconsistent with Seyfert galaxies. Therefore, with two exceptions that have been outlined, we do not believe that many of the galaxies in our sample are Seyferts. If there are central AGNs in these galaxies, they are very weak, as the H-alpha is often (88% of galaxies with spectra) not evident until after continuum subtraction. There are also no point sources in Figure 10, which shows all available DES images of our galaxies, further indicating that if there are central AGNs in our sample they are weak and not significantly contaminating the masses or SFRs. We have not calculated the SFRs from H-alpha as the spectroscopic apertures are too small and the emission line ratios indicate H-alpha isn’t the result of star formation. Figure 10 also shows any star formation is largely beyond the galaxy cores and so we would not get an accurate galaxy SFR.

As $79\pm6\%$ of our galaxies have [NII] ${\lambda 6583}$ and H $\alpha{\lambda 6563}$ which indicate they are LINERs, have narrow emission line widths, and that $83\pm6\%$ of the galaxies classified with H $\beta{\lambda 4863}$ and [OIII] ${\lambda 5008}$ as well as [NII] ${\lambda 6583}$ and H $\alpha{\lambda 6563}$ have emission line ratios indicating they are LINERs, we are confident that the 17 galaxies that are classified with [NII] ${\lambda 6583}$ and H $\alpha{\lambda 6563}$ alone are also genuinely LINERs. Additionally of these 17 galaxies UGC508 and NGC5078 both have literature classifications as LINERs (Véron-Cetty & Véron Reference Véron-Cetty and Véron2006; Healey et al. Reference Healey, Romani, Taylor, Sadler, Ricci, Murphy, Ulvestad and Winn2007). Therefore, the abundance of LINERs in this sample is remarkable and indicates that some component of our sample selection criteria is selecting LINERs.

There are three components to our sample selection – mass, SFR and redshift, which are directly comparable to the mass and SFR criteria of the Ogle et al. (Reference Ogle, Lanz, Appleton, Helou and Mazzarella2019) sample. Previous work shows that the percentage of LINERs increases with mass, with Belfiore et al. (Reference Belfiore2016) finding that $\sim$ 30% of galaxies in their highest mass range, $10.5\lt log(M^{*}/M_{\odot})$ $\lt11.5$ are LINERs. However, this mass range is lower than that of our sample, beginning at $log(M^{*}/M_{\odot}) ={11.3}$ , and our sample has a significantly higher fraction of LINERs. The galaxy mass vs percentage LINERs presented in Belfiore et al. (Reference Belfiore2016) is therefore not sufficient to explain our sample’s proportion of LINERs. Hence, while mass is likely a contributing factor for the high percentage of LINERs in this sample, it doesn’t entirely account for the $83\pm6\%$ LINERs we see in our sample. Redshift is also not likely to explain this abundance, as the Ogle et al. (Reference Ogle, Lanz, Nader and Helou2016); Ogle et al. (Reference Ogle, Lanz, Appleton, Helou and Mazzarella2019) galaxies also have a high abundance of LINERs and are at a higher redshift.

As mass and redshift alone are insufficient to explain the high percentage of LINERs in our sample, we look at the other component of our sample selection, star-formation rate. Previous studies have detected LINER emission in massive, old, red galaxies (Kewley et al. Reference Kewley, Groves, Kauffmann and Heckman2006; Coldwell et al. Reference Coldwell, Alonso, Duplancic and Mesa2018), with studies by Graves et al. (Reference Graves, Faber, Schiavon and Yan2007) finding that red galaxies with LINER emission are younger, by 2– $3.5$ Gyr, than typical red elliptical galaxies. This indicates that red galaxies in which LINERs were detected had more star-formation, producing younger stars or having more cold gas, than an entirely passive galaxy, supporting a connection between star-formation rate and LINERs. Graves et al. (Reference Graves, Faber, Schiavon and Yan2007) findings align with our work finding LINERs preferentially reside in very massive, star-forming galaxies, but we note their colour criterion may exclude some star-forming galaxies that would be included in our sample. Our results indicate a link between star formation and LINER activity and may help to explain why having a SFR criteria effects the proportion of LINERs in the sample. Together, these studies suggest that LINERs are younger than typical passive galaxies, but older and redder than bright star-forming galaxies, containing evolved stellar populations. This picture of LINERs matches well with galaxies in our sample, which can be characterised as very massive galaxies with some star-formation.

We have found that very massive, star-forming galaxies preferentially host LINERs which is qualitatively consistent with work by Kauffmann et al. (Reference Kauffmann2003b). Kauffmann et al. (Reference Kauffmann2003b) finds that AGNs (including LINERs) are preferentially found in very massive galaxies that have younger stellar populations than typical passive galaxies (D4000<1.45 vs D4000>1.7). We do caution that quantitatively our results differ from those of Kauffmann et al. (Reference Kauffmann2003b) due to sample selection (including redshift and aperture bias), with Kauffmann et al. (Reference Kauffmann2003b) finding $\sim$ 30% of very massive galaxies with young stellar populations host AGNs (including LINERs) while we find that $83\pm6\%$ of very massive galaxies with star formation rates higher than 1 M $_\odot$  host LINERs. One contributor to this quantitative difference is that the Kauffmann et al. (Reference Kauffmann2003b) sample have masses ${M}_{\mathrm{stellar}} \sim 10^{11}\mathrm{M_\odot}$ which are lower than the masses of our sample at ${M}_{\mathrm{stellar}}\gt10^{11.3} \mathrm{M_\odot}$ . Kauffmann et al. (Reference Kauffmann2003b) also find that more that 80% of emission line galaxies with ${M}_{\mathrm{stellar}}\gt10^{11} \mathrm{M_\odot}$ host AGNs including LINERs. While these studies differ in purpose and sample selection, both our study and work by Kauffmann et al. (Reference Kauffmann2003b) suggest that in spite of these differences, very massive galaxies with emission lines often host LINERs (or AGNs in Kauffmann et al. Reference Kauffmann2003b).

The morphology of our massive star-forming sample is similar to some samples of LINERs and in contrast to others. Ricci et al. (Reference Ricci, Steiner, Menezes, Slodkowski Clerici and da Silva2023) found that $40\pm9\%$ of elliptical galaxies in their DIVING3D sample were LINERs, while $57\pm10\%$ of lenticulars were LINERs, supporting a higher proportion of LINERs in disc galaxies. Tommasin et al. (Reference Tommasin2012) studied distant $z\approx0.3$ LINERs and found that, like our sample, many of their galaxies were spiral galaxies with star-formation rates $\approx 10 \mathrm{M_{\odot}} \mathrm{{yr}^{-1}}$ , similar to the galaxies in this paper, although with a lower mass range than that of our sample $M_* \geq 10^{9.1} \,\mathrm{M_\odot}$ . LINER emission in spirals has also been studied by Percival & James (Reference Percival and James2020) who found LINER emission in the central, passive region swept by the bar of star-forming, barred, spiral galaxies, which may demonstrate that it is possible to have LINER emission in the nuclear region of star-forming, massive, disc galaxies, like our own.

While we find that there are many LINERs in our sample of massive, star-forming galaxies, it doesn’t follow that all LINERs are necessarily found in similar samples. While very massive galaxies, with some star-formation seem to be conducive to producing LINERs, LINERs are not unique to this population. Our LINERs are distinguished from other local LINERs such as those in Pović et al. (Reference Pović, Márquez, Netzer, Masegosa, Nordon, Pérez and Schoenell2016) as our sample have much higher masses, Pović et al. (Reference Pović, Márquez, Netzer, Masegosa, Nordon, Pérez and Schoenell2016)’s LINERs range from $6-7 \times 10^{10} \mathrm{M_\odot}$ , and have much lower SFRs, SFR $\sim 10\,\mathrm{M_{\odot}} \mathrm{{yr}^{-1}}$ . Yan & Blanton (Reference Yan and Blanton2012) found that 19 of their 59 quiescent, red galaxies were LINERs. LINERs have also been found in some blue early type galaxies (Deshmukh, Vagshette, & Patil Reference Deshmukh, Vagshette and Patil2022), although it should be noted that this sample selected for star-formation and AGN activity and only found 14 of their 89 (16%) galaxies with mass $\geq 10^{9.75} \mathrm{M_\odot}$ to be LINERs. While these studies have LINERs in their samples, they do not make up the large majority of their samples like our galaxies do. The high frequency of LINERs in our sample may provide clues as to the environment/s that can produce LINER emission. Our results may indicate that LINERs are likely to be produced in massive galaxies, with enough gas to have some ongoing star-formation and older stellar populations but this will need to be investigated further with IFU spectroscopy and as such it is outside the scope of this paper to speculate on the ionisation source for LINERs (Ricci et al. Reference Ricci, Steiner, Menezes, Slodkowski Clerici and da Silva2023).

We will continue to study these galaxies by looking at WiFeS IFU spectroscopy (Dopita et al. Reference Dopita, Hart, McGregor, Oates, Bloxham and Jones2007) of a subset of these galaxies, which we have recently collected. This data will allow us to map emission line gradients in the centre and extended regions of these galaxies, which will allow us to trace LINER emission throughout these galaxies. The distribution of LINER emission in these galaxies will help us determine if the origin of the ionisation follows star-formation, indicating an older stellar population, or is centrally distributed, implying that low-luminosity AGNs (LLAGNs) may be the source of ionisation, responsible for LINER emission.

6. Conclusion

To understand why some very massive galaxies break the expected bimodal distribution of galaxies and are forming stars, we studied a local sample of massive, $M_{\mathrm{stellar}} \geq10^{11.3} \mathrm{M_{\odot}}$ , star-forming, SFR $\gt1 \mathrm{M_{\odot}} \mathrm{{yr}^{-1}}$ galaxies. The DES images of our sample reveal that they are at least 63% spiral in morphology, with star-forming, undisturbed disks and hence do no appear to be in the process of rapid transformation. These galaxies generally sit just below the star-forming main sequence in sSFR and have colours and sSFRs consistent with a mixture of gas that fuels star-formation, trickles of ongoing star-formation and old stellar populations. By measuring emission lines from the nuclear spectra of these galaxies, we unexpectedly found that $83\pm6\%$ of our sample are classified as LINERs on a BPT diagram. The BPT diagram shows that the majority of our sample are LINERs regardless of the literature criterion used to classify them. The LINER emission observed in our sample is seen throughout our mass and star-formation rate range and is also seen in the analogous, although higher redshift, Ogle et al. (Reference Ogle, Lanz, Appleton, Helou and Mazzarella2019) super spiral sample. We further confirmed these results by looking at the [NII] ${\lambda 6583}$ /H $\alpha{\lambda 6563}$ of our local sample and found $79\pm6\%$ have emission line ratios consistent with LINER emission. Our results indicate that the vast majority of massive star-forming galaxies are also LINERs, and that LINER emission in massive galaxies may be linked to the presence of gas that fuels star formation.

Acknowledgements

Jaimie Sheil acknowledges support by an Australian Government Research Training (RTP) Scholarship. We would like to thank Patrick Ogle for his interesting work which inspired this study. We would also like to thank Vaishali Parkash and Madhooshi Senarath for their advice and guidance.

We would also like to thank the reviewer for their insightful comments and feedback which have helped improve the paper.

This publication makes use of data products from the Wide-field Infrared Survey Explorer, which is a joint project of the University of California, Los Angeles, and the Jet Propulsion Laboratory/California Institute of Technology, funded by the National Aeronautics and Space Administration.

Funding for SDSS-III has been provided by the Alfred P. Sloan Foundation, the Participating Institutions, the National Science Foundation, and the U.S. Department of Energy Office of Science. The SDSS-III web site is http://www.sdss3.org/. SDSS-III is managed by the Astrophysical Research Consortium for the Participating Institutions of the SDSS-III Collaboration including the University of Arizona, the Brazilian Participation Group, Brookhaven National Laboratory, Carnegie Mellon University, University of Florida, the French Participation Group, the German Participation Group, Harvard University, the Instituto de Astrofisica de Canarias, the Michigan State/Notre Dame/JINA Participation Group, Johns Hopkins University, Lawrence Berkeley National Laboratory, Max Planck Institute for Astrophysics, Max Planck Institute for Extraterrestrial Physics, New Mexico State University, New York University, Ohio State University, Pennsylvania State University, University of Portsmouth, Princeton University, the Spanish Participation Group, University of Tokyo, University of Utah, Vanderbilt University, University of Virginia, University of Washington, and Yale University.

This publication makes use of data products of the Two Micron All Sky Survey, which is a joint project of the University of Massachusetts and the Infrared Processing and Analsis Center, funded by the NASA and the National Science Foundation.

This project used public archival data from the Dark Energy Survey (DES). Funding for the DES Projects has been provided by the U.S. Department of Energy, the U.S. National Science Foundation, the Ministry of Science and Education of Spain, the Science and Technology Facilities Council of the United Kingdom, the Higher Education Funding Council for England, the National Center for Supercomputing Applications at the University of Illinois at Urbana-Champaign, the Kavli Institute of Cosmological Physics at the University of Chicago, the Center for Cosmology and Astro-Particle Physics at the Ohio State University, the Mitchell Institute for Fundamental Physics and Astronomy at Texas A&M University, Financiadora de Estudos e Projetos, Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro, Conselho Nacional de Desenvolvimento Cientfico e Tecnológico and the Ministério da Ciência, Tecnologia e Inovação, the Deutsche Forschungsgemeinschaft, and the Collaborating Institutions in the Dark Energy Survey. The Collaborating Institutions are Argonne National Laboratory, the University of California at Santa Cruz, the University of Cambridge, Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas-Madrid, the University of Chicago, University College London, the DES-Brazil Consortium, the University of Edinburgh, the Eidgenössische Technische Hochschule (ETH) Zürich, Fermi National Accelerator Laboratory, the University of Illinois at Urbana-Champaign, the Institut de Ciències de l’Espai (IEEC/CSIC), the Institut de Fsica d’Altes Energies, Lawrence Berkeley National Laboratory, the Ludwig-Maximilians Universität München and the associated Excellence Cluster Universe, the University of Michigan, the National Optical Astronomy Observatory, the University of Nottingham, The Ohio State University, the OzDES Membership Consortium, the University of Pennsylvania, the University of Portsmouth, SLAC National Accelerator Laboratory, Stanford University, the University of Sussex, and Texas A&M University. Based in part on observations at Cerro Tololo Inter-American Observatory, National Optical Astronomy Observatory, which is operated by the Association of Universities for Research in Astronomy (AURA) under a cooperative agreement with the National Science Foundation.

This research has made use of the NASA/IPAC Extragalactic Database (NED) which is operated by the Jet Propulsion Laboratory, California Institute of Technology, under contract with the National Aeronautics and Space Administration and the HyperLeda database (http://leda.univlyon1.fr). This research made use of Astropy, a community developed core Python package for Astronomy (Astropy Collaboration, 2018).

Data availability statement

The data underlying this article are available in its online supplementary material.

Appendix A.

Figure A.1. A representative selection of the heterogeneous spectra from our sample of LINERs, comprised primarily of spectra from 6dFGS (Jones et al. Reference Jones, Peterson, Colless and Saunders2006, Reference Jones2009), as well as additional spectra from SDSS (Alam et al. Reference Alam2015), 2MRS Fast Survey (Huchra et al. Reference Huchra2012) and the Ho et al. (Reference Ho, Filippenko and Sargent1995) sample of nearby active galaxies.

Figure A.2. A representative selection of the stellar population subtracted spectra from our sample of LINERs, comprised primarily of spectra from 6dFGS (Jones et al. Reference Jones, Peterson, Colless and Saunders2006, Reference Jones2009), as well as additional spectra from SDSS (Alam et al. Reference Alam2015), 2MRS Fast Survey (Huchra et al. Reference Huchra2012) and the Ho et al. (Reference Ho, Filippenko and Sargent1995) sample of nearby active galaxies.

Footnotes

a If AGNs are present they will increase the infrared emission leading to overestimates of the stellar masses and star formation rates. However, the WISE colour-colour diagram in Figure 3 shows the $W_{1}-W_{2}$ colours of the bulk of our sample have not been increased by infrared emission from hot dust, with the one exception being MRK1239. This is not unexpected, given that low luminosity AGNs associated with LINERs have lower X-ray luminosities and Eddington ratios than local Seyferts (Gonçalves & Martin Reference Gonçalves and Martin2009).

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Figure 0

Figure 1. The SDSS spectrum of the super spiral 2MASX J07404205+4332412, which was identified by Ogle et al. (2016); Ogle et al. (2019). The redshifted H$\alpha{\lambda 6563}$ and [NII]${\lambda 6583}$ are evident and are comparable in strength, which identifies this galaxy as a LINER.

Figure 1

Figure 2. Our BPT diagram of 6dF galaxies along with commonly used galaxy classification criteria from the literature (Baldwin, Phillips, & Terlevich 1981). The green line from Kewley et al. (2006) separates star-forming galaxies from Seyferts and LINERs, while the black dotted line from Schawinski et al. (2007) separates Seyferts and LINERs. The Kauffmann criteria shows alternative cuts to classify galaxies with and the emission line ratios required for LINER classification in red, [NII]${\lambda 6583}$/H$\alpha{\lambda 6563} \gt 0.6$ and [OIII]${\lambda 5008}$/H$\beta{\lambda 4863} \lt3$ (Kauffmann et al. 2003b). The different criteria are motivated by theory and observation, producing samples with varying completeness and contamination.

Figure 2

Figure 3. The WISE colour-colour diagram for all 2MRS-Bright galaxies (grey) and for our local, massive, star-forming sample of galaxies (coloured). Our sample lies in the spiral region of the $W_{1}-W_{2}$ against $W_{2}-W_{3}$ plot, which reflects that these galaxies have some star-formation present, as we selected for. We do not have an AGN locus for this plot currently as it is part of the ongoing work by Jarrett et al. (in preparation). There is one Seyfert shown in this plot in purple, classified by emission line width, MRK1239, and one galaxy, 2MASX J22444577+3327381, which lies below the rest of our sample due to a star contaminating the $W_{1}-W_{2}$ colour. However, with these two exceptions, the local sample of massive, star-forming galaxies have very uniform colours and fall just below the star-forming main sequence (SFMS) (Chang et al. 2015).

Figure 3

Figure 4. The sample for this paper consists of 126 galaxies with $M_{\textrm{stellar}} \geq10^{11.3} \mathrm{M_\odot}$, SFR $\gt1 \mathrm{M_{\odot}} \mathrm{{yr}^{-1}}$, and distance $ \lt100$ Mpc (red), selected from the 2MRS-Bright < 100 Mpc sample (purple). The region the sample space populates against the wider selection of galaxies can be seen, with our sample being both massive and star-forming, which distinguishes them from typical galaxies and makes them the local analogue to the Ogle et al. (2016, 2019) sample. We also show the $\sim 47\%$ of galaxies that have archival spectra (blue) and the remaining galaxies in the sample for which there is no available spectra.

Figure 4

Table 1. Table of aperture radii at 100 Mpc for our sample which is sourced from SDSS, 6dFGS, 2MRS FAST and Ho et al. (1995). As 100 Mpc is the upper limit of distance for our sample these are also the upper limit of aperture radii. We may be more likely to detect faint AGN nuclei with our small aperture sizes compared to Ogle et al. (2016).

Figure 5

Table 2. The sources of each of the spectra used to study our sample of local galaxies. Together, they provide an inhomogeneous sample of nearby, massive, star-forming galaxies for which we can measure emission lines.

Figure 6

Figure 5. An example of the corrections and fits applied to archival spectra of galaxies in our local sample. The top panel, shows the original spectra in red, at wavelengths surrounding the redshifted emission lines H$\alpha{\lambda 6563}$ and [NII]${\lambda 6583}$. The Bruzual & Charlot (2003) model is shown in green and the scaled model is then subtracted from the original spectra, resulting in the spectra shown in blue. In the bottom panel the corrected spectra is modelled using three Gaussians and hence the emission line ratios can be measured.

Figure 7

Figure 6. The corrections and fits applied to archival spectra for H$\beta{\lambda 4863}$ and [OIII]${\lambda 5008}$ emission lines. The top panel, shows the original spectra in green, the scaled Bruzual & Charlot (2003) is shown in black and the subtracted spectra is shown in purple. The corrected spectra are then modelled using Gaussians as shown in the bottom panel, and hence the emission line ratios can be measured.

Figure 8

Table 3. Example of available data table – the data table provides information for all 126 galaxies in the local sample. This data includes, RA, DEC, redshift, star-formation rate and the associated error, mass in stars, distance in Mpc, $W_{1}$ flux, $W_{2}$ flux, $W3_{PaH}$ flux, $W4_{dust}$ flux, $W_{1}-W_{2}$, $W_{2}-W_{3}$, $M_{W_{1}}$, the LEDA morphologies, the source of the available spectra, the [NII]/H$\alpha$ ratio, the [OIII]/H$\beta$ ratio, and the resulting classification. This example table shows a selection of galaxies and their key data. The error in the galaxy mass (in log scale) predominantly comes from the calibration as these are bright nearby galaxies, the resulting error is $\sim 0.11$ for each galaxy. The 67 galaxies with no available archival spectra are also shown in this table with the spectral class NA. *MRK1239 has broad emission lines and so is classified as a Seyfert 1 and excluded from the BPT diagram.

Figure 9

Figure 7. The BPT diagram for the 35 galaxies in our sample that have measurable emission lines from the available spectra. The black dashed line is the Kewley et al. (2006) criteria and the dotted thin black line shows the criteria from Kauffmann et al. (2003b), both of which separate HII galaxies from Seyferts and LINERs. The black dotted line separates Seyferts from LINERs from Schawinski et al. (2007). As can be seen in the diagram, 29 of the galaxies in our sample are LINERs and there are only 5 star-forming and 1 Seyfert galaxies.

Figure 10

Figure 8. Our sample of galaxies against the wider galaxy population with our local sample divided into those with and without spectra and then further into those with that are LINERs. The LINERs clearly make up the majority of those galaxies with spectra. The SFMS by Whitaker et al. (2012) is shown in pink in the Figure and demonstrates that, as expected, our galaxies largely fall below the SFMS. We also show the Pović et al. (2016) LINERs which have far lower masses than our sample and the Ogle et al. (2019) sample of galaxies which we compare our sample to. Interestingly in all three samples the LINERs largely sit below the star-forming main sequence.

Figure 11

Figure 9. The distribution of [NII]${\lambda 6583}$ to H$\alpha{\lambda 6563}$ ratio that we use to classify LINERs is shown as well as the breakdown of this ratio based on the survey they originated from. As can be seen, the emission line ratio has no strong dependence on the survey from which the spectra is from, as expected, due to the corrections applied to all spectra. We can also see that the majority of galaxies have [NII]${\lambda 6583}$/H$\alpha{\lambda 6563} \geq 0.6$, making them LINERs.

Figure 12

Figure 10. The available Dark Energy Survey (DES) images of galaxies in our sample with LEDA morphologies sourced by Jarrett et al. (in preparation). As can be seen these galaxies are largely disc galaxies with spiral structure and do not show signs of major mergers. The galaxy in the final panel is cropped as it sits on the edge of the DES visible field.