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1 results

  • 7 - The other classical tests of general relativity: the gravitational redshift, the perihelion precession, and the time delay of radar

  • Horatiu Nastase, Universidade Estadual Paulista, São Paulo
  • Book:
    General Relativity
    Published online:
    24 April 2025
    Print publication:
    08 May 2025, pp 75-85

  • Summary

    We consider the other classical tests of general relativity. The first is the gravitational redshift (the change in the frequency of light). Next, we consider the geodesic radial motion, and we use the equations to find the time delay of a radar signal (or any light signal) moving in a gravitational field (the classic test is for bouncing a signal from a satellite in orbit, or on the Moon). We use the same geodesic equations to find the precession of the perihelion (closest distance to the Sun) of the ecliptic (motion of the planets around the Sun), specifically for the perihelion of Mercury’s ecliptic. Finally, we analyze the possible motions in the Schwarzschild metric, by using a nonrelativistic analogy (effective potential), both in the massive and in the null cases.