Semi-analytic expressions for quasinormal modes of slowly rotating Kerr black holes

Abstract

We provide semi-analytic expressions for quasinormal mode frequencies of slowly rotating Kerr black holes to the quadratic order in the rotation parameter. We apply the parametrized black hole quasinormal mode ringdown formalism to the Chandrasekhar-Detweiler equation and the Sasaki-Nakamura equation instead of the Teukolsky equation, and compare our result with the previous numerical calculations.

arXiv comment19 pages, 22 figures, v2: minor revisions, v3: minor revisions, accepted for publication in Phys. Rev. D

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• Axial Gravitational Perturbations of Slowly-Rotating Compact Objects in General Relativity and Beyond
• Spectral Problems for Quasinormal Modes of Black Holes