On the Photon Motion Near a Five-Dimensional Schwarzschild Black Hole
Abstract
In this report, we discuss the dynamics of photons in a five-dimensional Schwarzschild black hole. We find that the corresponding Eddington-Finkelstein-like coordinate admits two time-coordinate singularities for a particular condition. This condition is due to the existence of a non-zero angular momentum related to the extra spatial dimension. By introducing a new Regge-Wheeler tortoise coordinate, both singularities can be removed from the Eddington-Finkelstein-like coordinate. It is identified that the additional singularity is related to the photon sphere in a hyperplane, and we analyze it using a dynamical system approach. Simulation results of photon motion based on numerical calculation are presented. It is suggested that the related bending motion characteristic can probably be considered as a signature for probing the existence of the extra spatial dimension.
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Cite
@article{arxiv.2107.12166,
title = {On the Photon Motion Near a Five-Dimensional Schwarzschild Black Hole},
author = {Husin Alatas and Siti A. Nuraeni and Ilma L. Saptiani and Bobby E. Gunara},
journal= {arXiv preprint arXiv:2107.12166},
year = {2021}
}