Quasinormal modes of near-extremal Reissner-Nordström-de Sitter spacetimes
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866908298382409728 |
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| author | Hintz, Peter |
| author_facet | Hintz, Peter |
| contents | We study quasinormal modes (QNMs) for the Klein-Gordon equation on Reissner-Nordström-de Sitter black holes with near-extremal charge. We locate all QNMs of size $\mathcal{O}(κ_{\rm C})$ where $κ_{\rm C}$ is the surface gravity of the Cauchy horizon (which vanishes at extremality): they are well-approximated by $κ_{\rm C}$ times QNMs of the near-horizon geometry ${\rm AdS}^2\times{\mathbb S}^2$ of the extremal limit. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_01734 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quasinormal modes of near-extremal Reissner-Nordström-de Sitter spacetimes Hintz, Peter General Relativity and Quantum Cosmology Analysis of PDEs Primary 83C57, Secondary 35P20, 35L05, 35B40 We study quasinormal modes (QNMs) for the Klein-Gordon equation on Reissner-Nordström-de Sitter black holes with near-extremal charge. We locate all QNMs of size $\mathcal{O}(κ_{\rm C})$ where $κ_{\rm C}$ is the surface gravity of the Cauchy horizon (which vanishes at extremality): they are well-approximated by $κ_{\rm C}$ times QNMs of the near-horizon geometry ${\rm AdS}^2\times{\mathbb S}^2$ of the extremal limit. |
| title | Quasinormal modes of near-extremal Reissner-Nordström-de Sitter spacetimes |
| topic | General Relativity and Quantum Cosmology Analysis of PDEs Primary 83C57, Secondary 35P20, 35L05, 35B40 |
| url | https://arxiv.org/abs/2504.01734 |