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arXiv · 1104.1281

Quasi-normal modes for doubly rotating black holes

H. T. Cho·Jason Doukas·Wade Naylor·A. S. Cornell
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Abstract

Based on the work of Chen, Lü and Pope, we derive expressions for the $D\geq 6$ dimensional metric for Kerr-(A)dS black holes with two independent rotation parameters and all others set equal to zero: $a_1\neq 0, a_2\neq0, a_3=a_4=...=0$. The Klein-Gordon equation is then explicitly separated on this background. For $D\geq 6$ this separation results in a radial equation coupled to two generalized spheroidal angular equations. We then develop a full numerical approach that utilizes the Asymptotic Iteration Method (AIM) to find radial Quasi-Normal Modes (QNMs) of doubly rotating flat Myers-Perry black holes for slow rotations. We also develop perturbative expansions for the angular quantum numbers in powers of the rotation parameters up to second order.

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H. T. Cho, Jason Doukas, Wade Naylor, A. S. Cornell. 2011-04-26. Quasi-normal modes for doubly rotating black holes. https://doi.org/10.1103/physrevd.83.124034

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