Time like geodesics for five-dimensional Schwarzschild and Reissner–Nordström anti-de Sitter black holes

Abstract The time like 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 t...

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Bibliographic Details
Main Authors: P. A. González, Marco Olivares, Yerko Vásquez, J. R. Villanueva
Format: Article
Language:English
Published: SpringerOpen 2023-09-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-023-12018-4
Description
Summary:Abstract The time like 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.
ISSN:1434-6052