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Open Quantum Systems Decoherence

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

arXiv

Authors: Shoya Ogawa, Takuya Hirose, Okuto Morikawa

Year

2026

Paper ID

52211

Status

Preprint

Abstract Read

~2 min

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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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We study black-hole quasinormal modes by applying the complex scaling method (CSM) to the perturbation equations of Schwarzschild and Reissner--Nordström black holes.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2604.20442 [2] arXiv https://arxiv.org/abs/2604.20442 [3] Publisher https://arxiv.org/abs/2604.20442

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