Quasi-normal modes for doubly rotating black holes

Details Quasi-normal modes for doubly rotating black holes Quasi-normal modes for doubly rotating black holes

2011-04-07

arxiv.org/abs/1104.1281v2

Phys.Rev.D83:124034,2011

Physics

High Energy Physics

High Energy Physics - Theory

RevTeX 4-1, various figures

Scientific paper

10.1103/PhysRevD.83.124034

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.

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