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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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
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author P. A. González
Marco Olivares
Yerko Vásquez
J. R. Villanueva
author_facet P. A. González
Marco Olivares
Yerko Vásquez
J. R. Villanueva
author_sort P. A. González
collection DOAJ
description 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.
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spelling doaj.art-9fabd2e3de45489ebb334104aa01207a2023-10-29T12:34:40ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-09-0183911310.1140/epjc/s10052-023-12018-4Time like geodesics for five-dimensional Schwarzschild and Reissner–Nordström anti-de Sitter black holesP. A. González0Marco Olivares1Yerko Vásquez2J. R. Villanueva3Facultad de Ingeniería y Ciencias, Universidad Diego PortalesFacultad de Ingeniería y Ciencias, Universidad Diego PortalesDepartamento de Física, Facultad de Ciencias, Universidad de La SerenaInstituto de Física y Astronomía, Universidad de ValparaísoAbstract 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.https://doi.org/10.1140/epjc/s10052-023-12018-4
spellingShingle P. A. González
Marco Olivares
Yerko Vásquez
J. R. Villanueva
Time like geodesics for five-dimensional Schwarzschild and Reissner–Nordström anti-de Sitter black holes
European Physical Journal C: Particles and Fields
title Time like geodesics for five-dimensional Schwarzschild and Reissner–Nordström anti-de Sitter black holes
title_full Time like geodesics for five-dimensional Schwarzschild and Reissner–Nordström anti-de Sitter black holes
title_fullStr Time like geodesics for five-dimensional Schwarzschild and Reissner–Nordström anti-de Sitter black holes
title_full_unstemmed Time like geodesics for five-dimensional Schwarzschild and Reissner–Nordström anti-de Sitter black holes
title_short Time like geodesics for five-dimensional Schwarzschild and Reissner–Nordström anti-de Sitter black holes
title_sort time like geodesics for five dimensional schwarzschild and reissner nordstrom anti de sitter black holes
url https://doi.org/10.1140/epjc/s10052-023-12018-4
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AT yerkovasquez timelikegeodesicsforfivedimensionalschwarzschildandreissnernordstromantidesitterblackholes
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