Quasinormal Modes of Kerr Black Holes in Four and Higher Dimensions

TL;DR

This paper analytically derives the asymptotic quasinormal frequencies of Kerr black holes across four, five, and seven dimensions, providing explicit formulas and confirming previous numerical results in four dimensions.

Contribution

It presents the first analytical calculation of asymptotic quasinormal modes for higher-dimensional Kerr black holes, expressed via elliptical integrals.

Findings

Explicit formulas for quasinormal frequencies in multiple dimensions

Confirmation of previous numerical results in four dimensions

Extension of analytical methods to higher-dimensional black holes

Abstract

We analytically calculate to leading order the asymptotic form of quasinormal frequencies of Kerr black holes in four, five and seven dimensions. All the relevant quantities can be explicitly expressed in terms of elliptical integrals. In four dimensions, we confirm the results obtained by Keshest and Hod by comparing the analytic results to the numerical ones.