Rotating black holes in de Rham-Gabadadze-Tolley massive gravity: Newman-Janis Algorithm
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913660998254592 |
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| author | Li, Ping Yang, Jiang-he |
| author_facet | Li, Ping Yang, Jiang-he |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_12586 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Rotating black holes in de Rham-Gabadadze-Tolley massive gravity: Newman-Janis Algorithm Li, Ping Yang, Jiang-he General Relativity and Quantum Cosmology 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. |
| title | Rotating black holes in de Rham-Gabadadze-Tolley massive gravity: Newman-Janis Algorithm |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2501.12586 |