TY  - JOUR
A1  - Schmidt, Hans-Jürgen
T1  - Perihelion advance for orbits with large eccentricities in the Schwarzschild black hole
T2  - Physical review : D, Particles, fields, gravitation, and cosmology
N2  - We deduce a new formula for the perihelion advance Theta of a test particle in the Schwarzschild black hole by applying a newly developed nonlinear 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. The resulting formula has the structure Theta = c(1) - c(2) ln(c(3)(2) - e(2)) with positive constants c(1,2,3) depending on the angular momentum of the test particle. It is especially useful for orbits with large eccentricities e < c(3) < 1 showing that Theta -> infinity as e -> c(3).
Y1  - 2011
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/36800
SN  - 1550-7998
VL  - 83
IS  - 12
PB  - American Physical Society
CY  - College Park
ER  -