Timelike geodesics for five-dimensional Schwarzschild and Reissner-Nordström Anti-de Sitter black holes
arXiv:2308.01498
Abstract
The timelike structure of the five-dimensional Schwarzschild and Reissner-Nordström Anti-de Sitter black holes is studied in detail. Different kinds of motion are allowed and studied by using an adequate effective potential. Then, by solving the corresponding equations of motion, several trajectories and orbits are described in terms of Weierstrass elliptic functions and elementary functions for neutral particles.
15 pages, and 15 figures