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arXiv · 2207.09961

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

Keita Imaizumi
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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.

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Keita Imaizumi. 2022-09-28. Quasi-normal modes for the D3-branes and Exact WKB analysis. https://doi.org/10.1016/j.physletb.2022.137450

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