Validity of the WKB Approximation in Calculating the Asymptotic Quasinormal Modes of Black Holes

Details Validity of the WKB Approximation in Calculating the Asymptotic Quasinormal Modes of Black Holes Validity of the WKB Approximation in Calculating the Asymptotic Quasinormal Modes of Black Holes

2011-12-22

arxiv.org/abs/1112.5397v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages

Scientific paper

In this paper, we categorize non-rotating black hole spacetimes based on their pole structure and in each of these categories we determine whether the WKB approximation is a valid approximation for calculating the asymptotic quasinormal modes. We show that Schwarzschild black holes with the Gauss-Bonnet correction belong to the category in which the WKB approximation is invalid for calculating these modes. In this context, we further discuss and clarify some of the ambiguity in the literature surrounding the validity conditions provided for the WKB approximation.

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