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, .
- Received 24 November 2010
DOI:https://doi.org/10.1103/PhysRevD.83.108501
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