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arXiv · 2107.12166

On the Photon Motion Near a Five-Dimensional Schwarzschild Black Hole

Husin Alatas·Siti A. Nuraeni·Ilma L. Saptiani·Bobby E. Gunara
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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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Husin Alatas, Siti A. Nuraeni, Ilma L. Saptiani, Bobby E. Gunara. 2021-07-26. On the Photon Motion Near a Five-Dimensional Schwarzschild Black Hole. https://doi.org/10.1088/1361-6404/ac172e

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