Perihelion advance for orbits with large eccentricities in the Schwarzschild black hole

Details Perihelion advance for orbits with large eccentricities in the Schwarzschild black hole Perihelion advance for orbits with large eccentricities in the Schwarzschild black hole

2011-04-16

arxiv.org/abs/1104.3253v2

Phys.Rev.D83:124010,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages, new results added at the end of scts. 4 and 5, accepted for Phys. Rev. D

Scientific paper

10.1103/PhysRevD.83.124010

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.

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