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Comment on “Quasinormal modes in Schwarzschild–de Sitter spacetime: A simple derivation of the level spacing of the frequencies”
Phys. Rev. D 83, 108501 – Published 23 May, 2011
DOI: https://doi.org/10.1103/PhysRevD.83.108501
Abstract
It is shown here that the extraction of quasinormal modes 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 quasinormal mode frequencies. For instance, in the Schwarzschild case, (where is the surface gravity at the horizon) invalidates the poles deduced from the first Born approximation method, namely, .
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Original Article
Quasinormal modes in Schwarzschild–de Sitter spacetime: A simple derivation of the level spacing of the frequencies
Phys. Rev. D 69, 064033 (2004)
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