Exact solution for rotating black holes in parity-violating gravity
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866913355539677184 |
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| author | Tahara, Hiroaki W. H. Takahashi, Kazufumi Minamitsuji, Masato Motohashi, Hayato |
| author_facet | Tahara, Hiroaki W. H. Takahashi, Kazufumi Minamitsuji, Masato Motohashi, Hayato |
| contents | It has recently been pointed out that one can construct invertible conformal transformations with a parity-violating conformal factor, which can be employed to generate a novel class of parity-violating ghost-free metric theories from general relativity. We obtain exact solutions for rotating black holes in such theories by performing the conformal transformation on the Kerr solution in general relativity, which we dub conformal Kerr solutions. We explore the geodesic motion of a test particle in the conformal Kerr spacetime. While null geodesics remain the same as those in the Kerr spacetime, timelike geodesics exhibit interesting differences due to an effective external force caused by the parity-violating conformal factor. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_11899 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Exact solution for rotating black holes in parity-violating gravity Tahara, Hiroaki W. H. Takahashi, Kazufumi Minamitsuji, Masato Motohashi, Hayato General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena High Energy Physics - Theory It has recently been pointed out that one can construct invertible conformal transformations with a parity-violating conformal factor, which can be employed to generate a novel class of parity-violating ghost-free metric theories from general relativity. We obtain exact solutions for rotating black holes in such theories by performing the conformal transformation on the Kerr solution in general relativity, which we dub conformal Kerr solutions. We explore the geodesic motion of a test particle in the conformal Kerr spacetime. While null geodesics remain the same as those in the Kerr spacetime, timelike geodesics exhibit interesting differences due to an effective external force caused by the parity-violating conformal factor. |
| title | Exact solution for rotating black holes in parity-violating gravity |
| topic | General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena High Energy Physics - Theory |
| url | https://arxiv.org/abs/2312.11899 |