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  3. Noether Symmetries in Theories of Gravity
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    • Publisher:
      Cambridge University Press
      Publication date:
      November 2022
      November 2022
      ISBN:
      9781009208727
      9781009208741
      DOI:
      https://doi.org/10.1017/9781009208727
      Dimensions:
      (244 x 170 mm)
      Weight & Pages:
      0.92kg, 452 Pages
      Dimensions:
      Weight & Pages:
      • Subjects:
      Physics and Astronomy, Cosmology, Relativity and Gravitation, Theoretical Physics and Mathematical Physics
      Series:
      Cambridge Monographs on Mathematical Physics
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    Subjects:
    Physics and Astronomy, Cosmology, Relativity and Gravitation, Theoretical Physics and Mathematical Physics
    Series:
    Cambridge Monographs on Mathematical Physics
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    Book description

    This volume summarizes the many alternatives and extensions to Einstein's General Theory of Relativity, and shows how symmetry principles can be applied to identify physically viable models. The first part of the book establishes the foundations of classical field theory, providing an introduction to symmetry groups and the Noether theorems. A quick overview of general relativity is provided, including discussion of its successes and shortcomings, then several theories of gravity are presented and their main features are summarized. In the second part, the 'Noether Symmetry Approach' is applied to theories of gravity to identify those which contain symmetries. In the third part of the book these selected models are tested through comparison with the latest experiments and observations. This constrains the free parameters in the selected models to fit the current data, demonstrating a useful approach that will allow researchers to construct and constrain modified gravity models for further applications.

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