Quasi-normal modes for the D3-branes and Exact WKB analysis

Abstract

We demonstrate how the Exact WKB analysis works in the study of the quasi-normal modes (QNMs). We apply the Exact WKB analysis to a massless scalar perturbation to the D3-brane metric as a concrete example. The Exact WKB analysis provides an exact condition for the QNMs. We numerically check our exact condition by using the Borel-Padé approximation. We also present an analytic form and an asymptotic behavior of the QNMs.

16 pages, 3 figures, (v2) references are added, (v3) typos corrected, published version

References in corpus (1)

• Higher order WKB formula for quasinormal modes and grey-body factors: recipes for quick and accurate calculations

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