Variational iteration method for studying perihelion precession and deflection of light in General Relativity

  • Authors

    • V.K. Shchigolev Department of Theoretical Physics, Ulyanovsk State University
    2016-08-27
    https://doi.org/10.14419/ijpr.v4i2.6530
  • Approximate solution, Deflection of light, Perihelion precession, Spherically symmetric spacetime, Variational iteration method.

  • Abstract

    A new approach in studying the planetary orbits and deflection of light in General Relativity (GR) by means of the Variational iteration method (VIM) is proposed in this paper. For this purpose, a brief review of the nonlinear geodesic equations in the spherical symmetry spacetime and the main ideas of VIM are given. The appropriate correct functionals are constructed for the geodesics in the spacetime of Schwarzschild, Reissner-Nordström and Kiselev black holes. In these cases, the Lagrange multiplier is obtained from the stationary conditions for the correct functionals. Then, VIM leads to the simple problem of computation of the integrals in order to obtain the approximate solutions of the geodesic equations. On the basis of these approximate solutions, the perihelion shift and the light deflection have been obtained for the metrics mentioned above.

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  • How to Cite

    Shchigolev, V. (2016). Variational iteration method for studying perihelion precession and deflection of light in General Relativity. International Journal of Physical Research, 4(2), 52-57. https://doi.org/10.14419/ijpr.v4i2.6530

    Received date: 2016-07-26

    Accepted date: 2016-08-24

    Published date: 2016-08-27