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arXiv · 2501.12586

Rotating black holes in de Rham-Gabadadze-Tolley massive gravity: Newman-Janis Algorithm

Ping Li·Jiang-he Yang
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Abstract

We report the discovery of rotating black hole solutions within the framework of de Rham-Gabadadze-Tolley (dRGT) massive gravity. We demonstrate that any nonunitary gauge with the Minkowski reference metric are equal to a unitary gauge with some curved reference metric. Based on this Lemma, we revisit the process of deriving black hole solutions in dRGT theory. We explain how to obtain a static, spherically symmetric solution and then transform it into the corresponding rotating black hole using the Newman-Janis algorithm. For the first time, we provide an analytic expression for a hairy black hole that can reduce to the non-rotating case. Additionally, we confirm that the Newman-Janis algorithm is applicable in the context of massive gravity.

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Ping Li, Jiang-he Yang. 2025-01-22. Rotating black holes in de Rham-Gabadadze-Tolley massive gravity: Newman-Janis Algorithm. https://arxiv.org/abs/2501.12586

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