Complex scaling approach to quasinormal modes of Schwarzschild and Reissner--Nordström black holes
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| Format: | Preprint |
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2026
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| _version_ | 1866908994926280704 |
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| author | Ogawa, Shoya Hirose, Takuya Morikawa, Okuto |
| author_facet | Ogawa, Shoya Hirose, Takuya Morikawa, Okuto |
| contents | We study black-hole quasinormal modes by applying the complex scaling method (CSM) to the perturbation equations of Schwarzschild and Reissner--Nordström black holes. The method converts the outgoing-wave boundary condition into a non-Hermitian eigenvalue problem, allowing quasinormal-mode frequencies to be computed within a common spectral framework. We first benchmark the method for the Schwarzschild Regge--Wheeler equation and then extend it to the Reissner--Nordström family, including the extremal limit. Our results show that CSM provides a unified and flexible approach to the computation of black-hole quasinormal frequencies. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2604_20442 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Complex scaling approach to quasinormal modes of Schwarzschild and Reissner--Nordström black holes Ogawa, Shoya Hirose, Takuya Morikawa, Okuto High Energy Physics - Theory General Relativity and Quantum Cosmology Quantum Physics We study black-hole quasinormal modes by applying the complex scaling method (CSM) to the perturbation equations of Schwarzschild and Reissner--Nordström black holes. The method converts the outgoing-wave boundary condition into a non-Hermitian eigenvalue problem, allowing quasinormal-mode frequencies to be computed within a common spectral framework. We first benchmark the method for the Schwarzschild Regge--Wheeler equation and then extend it to the Reissner--Nordström family, including the extremal limit. Our results show that CSM provides a unified and flexible approach to the computation of black-hole quasinormal frequencies. |
| title | Complex scaling approach to quasinormal modes of Schwarzschild and Reissner--Nordström black holes |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology Quantum Physics |
| url | https://arxiv.org/abs/2604.20442 |