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Comment on "Quasinormal modes in Schwarzschild-de Sitter spacetime: A simple derivation of the level spacing of the frequencies"
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It is shown here that the extraction of quasinormal modes (QNMs) within the first Born approximation of the scattering amplitude is mathematically not well founded. Indeed, the constraints on the existence of the scattering amplitude integral lead to inequalities for the imaginary parts of the QNM frequencies. For instance, in the Schwarzschild case, $0 \leq \omega_I < \kappa$ (where $\kappa$ is the surface gravity at the horizon) invalidates the poles deduced from the first Born approximation method, namely, $\omega_n = i n \kappa$.
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Cited by 2 Pith papers
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Quasinormal modes and continuum response of de Sitter black holes via complex scaling method
Complex scaling turns the outgoing boundary problem for de Sitter black hole perturbations into a spectral problem, enabling unified computation of quasinormal modes and continuum response for scalar, electromagnetic,...
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Quasinormal modes and continuum response of de Sitter black holes via complex scaling method
Complex scaling unifies quasinormal modes and continuum response for black-hole perturbations in four-dimensional Schwarzschild-de Sitter spacetimes.
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