Perihelion advance for orbits with large eccentricities in the Schwarzschild black hole
arXiv:1104.3253 · doi:10.1103/PhysRevD.83.124010
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.
22 pages, new results added at the end of scts. 4 and 5, accepted for Phys. Rev. D
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