Complex scaling approach to quasinormal modes of Schwarzschild and Reissner--Nordström black holes

• URL: http://arxiv.org/abs/2604.20442v2
• Date: Mon, 27 Apr 2026 16:25:35 GMT
• Title: Complex scaling approach to quasinormal modes of Schwarzschild and Reissner--Nordström black holes
• Abstract summary: We study black-hole quasinormal modes by applying the complex scaling method (CSM) to the perturbation equations of Schwarzschild and Reissner--Nordstrm black holes.<n>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.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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