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arXiv · 2306.15453

Spherical particle orbits around a rotating black hole in massive gravity

Mohsen Fathi·J. R. Villanueva·Norman Cruz
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Abstract

In this paper, we present a rotating de Rham-Gabadadze-Tolley black hole with a positive cosmological constant in massive gravity, achieved by applying a modified Newman-Janis algorithm. The black hole exhibits stable orbits of constant radii, prompting a numerical study on the behavior of the solutions to a nonic equation governing the radii of planar orbits around the black hole. Additionally, we investigate the stability of orbits near the event horizon and provide a comprehensive analytical examination of the solutions to the angular equations of motion. This is followed by simulating some spherical particle orbits around the black hole.

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Mohsen Fathi, J. R. Villanueva, Norman Cruz. 2023-06-27. Spherical particle orbits around a rotating black hole in massive gravity. https://doi.org/10.3390/sym15081485

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