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Quasi-normal modes for doubly rotating black holes

By H. T. Cho, Jason Doukas, Wade Naylor and A. S. Cornell

Abstract

Based on the work of Chen, L\"u 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.Comment: RevTeX 4-1, various figure

Topics: High Energy Physics - Theory, General Relativity and Quantum Cosmology
Year: 2011
DOI identifier: 10.1103/PhysRevD.83.124034
OAI identifier: oai:arXiv.org:1104.1281
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