Quasinormal Modes of Kerr Black Holes in Four and Higher Dimensions

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.

14 pages, 7 figures

References in corpus (3)

• WKB analysis of the Regge-Wheeler equation down in the frequency plane
• Analytic Study of Rotating Black-Hole Quasinormal Modes
• Second Order Perturbative Calculation of Quasinormal Modes of Schwarzschild Black Holes

Cited by in corpus (4)

• Mixing of spherical and spheroidal modes in perturbed Kerr black holes
• Thermal Ringdown of a Kerr Black Hole: Overtone Excitation, Fermi-Dirac Statistics and Greybody Factor
• Asymptotic Spectrum of Kerr Black Holes in the Small Angular Momentum Limit
• Quasinormal modes of Kerr-Newman black holes: revisiting the Dudley-Finley approximation