Rigidity of the extremal Kerr-Newman horizon
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866909490215911424 |
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| author | Colling, Alex Katona, David Lucietti, James |
| author_facet | Colling, Alex Katona, David Lucietti, James |
| contents | We prove that the intrinsic geometry of compact cross-sections of an extremal horizon in four-dimensional Einstein-Maxwell theory must admit a Killing vector field or is static. This implies that any such horizon must be an extremal Kerr-Newman horizon and completes the classification of the associated near-horizon geometries. The same results hold with a cosmological constant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_07128 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rigidity of the extremal Kerr-Newman horizon Colling, Alex Katona, David Lucietti, James General Relativity and Quantum Cosmology High Energy Physics - Theory Differential Geometry 83C57 (primary) 83C05 (secondary) We prove that the intrinsic geometry of compact cross-sections of an extremal horizon in four-dimensional Einstein-Maxwell theory must admit a Killing vector field or is static. This implies that any such horizon must be an extremal Kerr-Newman horizon and completes the classification of the associated near-horizon geometries. The same results hold with a cosmological constant. |
| title | Rigidity of the extremal Kerr-Newman horizon |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory Differential Geometry 83C57 (primary) 83C05 (secondary) |
| url | https://arxiv.org/abs/2406.07128 |