Deviation of nonradial geodesics in a static spherically symmetric space-time
General Relativity and Quantum Cosmology
2022-04-29 v1
Abstract
The article generalizes the description of tidal forces to the case of geodesics with non-zero angular momentum in the metric of static spherically symmetric black holes. We show that the geodesic deviation equation can be diagonalized even with non-radial free motion of a test body in the gravitational field. We present expressions for the spatial components of the tidal force in a spherically symmetric metric. We also solve geodesic deviation equation in the Schwarzschild metric and demonstrate how the presence of angular momentum and its magnitude affect the solution.
Keywords
Cite
@article{arxiv.2204.13200,
title = {Deviation of nonradial geodesics in a static spherically symmetric space-time},
author = {V. P. Vandeev and A. N. Semenova},
journal= {arXiv preprint arXiv:2204.13200},
year = {2022}
}
Comments
15 pages, 5 figures