Null geodesics in five-dimensional Reissner-Nordstr\"om anti-de Sitter black hole
General Relativity and Quantum Cosmology
2021-03-31 v2 High Energy Physics - Theory
Abstract
The study of the motion of photons around massive bodies is one of the most useful tools to know the geodesic structure associated with said gravitational source. In the present work, different possible paths projected in an invariant hyperplane are investigated, considering five-dimensional Reissner-Nordstr\"om anti-de Sitter black hole. Also, we study some observational test such as the bending of light and the Shapiro time delay effect. Mainly, we found that the motion of photons follows the hippopede of Proclus geodesic, which is a new type of trajectory of second kind, being the Lima\c{c}on of Pascal their analogue geodesic in four-dimensional Reissner-Nordstr\"om anti-de Sitter black hole.
Keywords
Cite
@article{arxiv.2010.01442,
title = {Null geodesics in five-dimensional Reissner-Nordstr\"om anti-de Sitter black hole},
author = {P. A. González and Marco Olivares and Yerko Vásquez and J. R. Villanueva},
journal= {arXiv preprint arXiv:2010.01442},
year = {2021}
}
Comments
Version accepted for publication by EPJC