Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-12-02
Phys.Rev.D79:044003,2009
Physics
High Energy Physics
High Energy Physics - Theory
17 pages
Scientific paper
10.1103/PhysRevD.79.044003
We study the stability of AdS black hole holes rotating in a single two plane for tensor-type gravitational perturbations in $D > 6$ space-time dimensions. First, by an analytic method, we show that there exists no unstable mode when the magnitude $a$ of the angular momentum is smaller than $r_h^2/R$ where $r_h$ is the horizon radius, and $R$ is the AdS curvature radius. Then, by numerical calculations of quasinormal modes, using the separability of the relevant perturbation equations, we show that an instability occurs for rapidly rotating black holes with $a>r_h^2/R$, although the growth rate is tiny (of order $10^{-12}$ of the inverse horizon radius). We give numerical evidences indicating that this instability is caused by superradiance.
Kodama Hideo
Konoplya Roman A.
Zhidenko Alexander
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