Quasinormal modes and continuum response of de Sitter black holes via complex scaling method

• URL: http://arxiv.org/abs/2605.03277v2
• Date: Thu, 14 May 2026 09:18:02 GMT
• Title: Quasinormal modes and continuum response of de Sitter black holes via complex scaling method
• Abstract summary: We apply the complex scaling method to black-hole perturbations in four-dimensional Schwarzschild--deSitter spacetimes.<n>We focus in particular on the continuum level density, which characterizes the continuum response beyond isolated quasinormal-mode frequencies.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We apply the complex scaling method to black-hole perturbations in four-dimensional Schwarzschild--de~Sitter (dS) spacetimes. The method converts the outgoing-wave boundary-value problem into a non-Hermitian spectral problem and enables quasinormal-mode poles and the rotated continuum to be treated in a common framework. We focus in particular on the continuum level density, which characterizes the continuum response beyond isolated quasinormal-mode frequencies. Using Regge--Wheeler-type perturbation equations for scalar, electromagnetic, and gravitational fields, we investigate how a nonzero cosmological constant modifies the pole and continuum sectors. We also discuss a possible extension to string-inspired coupled-channel systems, and illustrate that higher-dimensional dS black holes can be treated within the same framework, at least in tensor- and vector-type sectors. Our results indicate that complex scaling offers a useful spectral framework for analyzing both quasinormal modes and continuum response in black-hole physics.

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