Accidental Symmetry Near Extreme Spinning Black Holes
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866918003236405248 |
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| author | Banerjee, Avik Porfyriadis, Achilleas P. Remmen, Grant N. |
| author_facet | Banerjee, Avik Porfyriadis, Achilleas P. Remmen, Grant N. |
| contents | Near the horizon of extremal charged black holes, an accidental symmetry is known to act on zero-temperature perturbations, transforming them into finite-temperature ones. In this paper, we uncover the corresponding accidental symmetry of the vacuum Einstein equation near the horizon of extremal spinning black holes. To do so, we first devise a new method of deriving the symmetry near the ${\rm AdS}_2 \times S^2$ near-horizon geometry of extreme Reissner-Nordström, using a new scaling coordinate transformation that unifies the near-horizon limits of extremal and near-extremal black holes in a way that is regular at zero temperature. We use our new method to obtain the accidental symmetry in the near-horizon of extreme Kerr (NHEK). We show that accidental symmetries combine neatly with the near-horizon isometries inside a Virasoro algebra. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_19880 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Accidental Symmetry Near Extreme Spinning Black Holes Banerjee, Avik Porfyriadis, Achilleas P. Remmen, Grant N. High Energy Physics - Theory General Relativity and Quantum Cosmology Near the horizon of extremal charged black holes, an accidental symmetry is known to act on zero-temperature perturbations, transforming them into finite-temperature ones. In this paper, we uncover the corresponding accidental symmetry of the vacuum Einstein equation near the horizon of extremal spinning black holes. To do so, we first devise a new method of deriving the symmetry near the ${\rm AdS}_2 \times S^2$ near-horizon geometry of extreme Reissner-Nordström, using a new scaling coordinate transformation that unifies the near-horizon limits of extremal and near-extremal black holes in a way that is regular at zero temperature. We use our new method to obtain the accidental symmetry in the near-horizon of extreme Kerr (NHEK). We show that accidental symmetries combine neatly with the near-horizon isometries inside a Virasoro algebra. |
| title | Accidental Symmetry Near Extreme Spinning Black Holes |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2412.19880 |