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| Format: | Preprint |
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2025
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| Online Access: | https://arxiv.org/abs/2504.17941 |
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| _version_ | 1866912660366295040 |
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| author | Arcodía, Marcos R. A. Giribet, Gaston Laurnagaray, Juan |
| author_facet | Arcodía, Marcos R. A. Giribet, Gaston Laurnagaray, Juan |
| contents | In the absence of a higher-dimensional analogue to the Kerr-Newman black hole, 5-dimensional Einstein-Maxwell theory with a Chern-Simons term has become a natural setting for studying charged, stationary solutions. A prominent example is the Chong-Cvetič-Lü-Pope (CCLP) solution, which describes a non-extremal black hole with electric charge and two independent angular momenta. This solution has been widely studied, and generalizations have been proposed. In this paper, we revisit a large family of five-dimensional black hole solutions to Einstein-Maxwell-Chern-Simons (EMCS) field equations, which admits to be written in terms of a generalized Plebański-Demiański ansatz and includes the CCLP and the Kerr-NUT-Anti-de Sitter solutions as particular cases. We show that the complete family can be brought to the CCLP form by means of a suitable coordinate transformation and a complex redefinition of parameters. Then, we compute the conserved charges associated to the CCLP form of the metric by analyzing the near-horizon asymptotic symmetries. We show that the zero-mode of the near-horizon charges exactly match the result of the Komar integrals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_17941 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Revisiting a family of five-dimensional charged, rotating black holes Arcodía, Marcos R. A. Giribet, Gaston Laurnagaray, Juan High Energy Physics - Theory In the absence of a higher-dimensional analogue to the Kerr-Newman black hole, 5-dimensional Einstein-Maxwell theory with a Chern-Simons term has become a natural setting for studying charged, stationary solutions. A prominent example is the Chong-Cvetič-Lü-Pope (CCLP) solution, which describes a non-extremal black hole with electric charge and two independent angular momenta. This solution has been widely studied, and generalizations have been proposed. In this paper, we revisit a large family of five-dimensional black hole solutions to Einstein-Maxwell-Chern-Simons (EMCS) field equations, which admits to be written in terms of a generalized Plebański-Demiański ansatz and includes the CCLP and the Kerr-NUT-Anti-de Sitter solutions as particular cases. We show that the complete family can be brought to the CCLP form by means of a suitable coordinate transformation and a complex redefinition of parameters. Then, we compute the conserved charges associated to the CCLP form of the metric by analyzing the near-horizon asymptotic symmetries. We show that the zero-mode of the near-horizon charges exactly match the result of the Komar integrals. |
| title | Revisiting a family of five-dimensional charged, rotating black holes |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2504.17941 |