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Timelike geodesics for five-dimensional Schwarzschild and Reissner-Nordstr\"om Anti-de Sitter black holes

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arxiv 2308.01498 v1 pith:MH7ZGS5H submitted 2023-08-03 gr-qc hep-th

P. A. González , Marco Olivares , Yerko Vásquez , J. R. Villanueva This is my paper · ORCID
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keywords anti-deblackfive-dimensionalfunctionsholesmotionreissner-nordstrschwarzschild
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The timelike structure of the five-dimensional Schwarzschild and Reissner-Nordstr\"om 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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Cited by 1 Pith paper

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  1. The geodesic structure of BPS one-branes in five dimensions

    hep-th 2024-11 conditional novelty 4.0 of 10

    Geodesics around the five-dimensional BPS one-brane are smooth and open for positive coupling q, while negative q creates a repulsive singular sphere that splits the spacetime into disconnected regions.

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