Perihelion advance for orbits with large eccentricities in the Schwarzschild black hole
General Relativity and Quantum Cosmology
2011-06-13 v2 Cosmology and Nongalactic Astrophysics
Abstract
We deduce a new formula for the perihelion advance of a test particle in the Schwarzschild black hole by applying a newly developed non-linear transformation within the Schwarzschild space-time. By this transformation we are able to apply the well-known formula valid in the weak-field approximation near infinity also to trajectories in the strong-field regime near the horizon of the black hole.
Keywords
Cite
@article{arxiv.1104.3253,
title = {Perihelion advance for orbits with large eccentricities in the Schwarzschild black hole},
author = {H. -J. Schmidt},
journal= {arXiv preprint arXiv:1104.3253},
year = {2011}
}
Comments
22 pages, new results added at the end of scts. 4 and 5, accepted for Phys. Rev. D