Schwarzschild geodesics in terms of elliptic functions and the related red shift
Astrophysics of Galaxies
2015-05-20 v2
Abstract
Using Weierstrassian elliptic functions the exact geodesics in the Schwarzschild metric are expressed in a simple and most transparent form. The results are useful for analytical and numerical applications. For example we calculate the perihelion precession and the light deflection in the post-Einsteinian approximation. The bounded orbits are computed in the post-Newtonian order. As a topical application we calculate the gravitational red shift for a star moving in the Schwarzschild field.
Keywords
Cite
@article{arxiv.1101.1207,
title = {Schwarzschild geodesics in terms of elliptic functions and the related red shift},
author = {Gunter Scharf},
journal= {arXiv preprint arXiv:1101.1207},
year = {2015}
}
Comments
20 pages, no figure, computational error corrected, new material added