Complex scaling approach to quasinormal modes of Schwarzschild and Reissner--Nordstr\"om black holes

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.

arXiv:2604.20442 [hep-th]

(or arXiv:2604.20442v3 [hep-th] for this version)

https://doi.org/10.48550/arXiv.2604.20442 Focus to learn more arXiv-issued DOI via DataCite

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