Gravitational instability of simply rotating AdS black holes in higher dimensions
Gravitational instability of simply rotating AdS black holes in higher dimensions
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DOI：
10.1103/physrevd.79.044003
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发表时间：
2008-12
影响因子：
5
通讯作者：
H. Kodama;R. Konoplya;A. Zhidenko
中科院分区：
文献类型：
--
作者：
H. Kodama;R. Konoplya;A. Zhidenko
在D>6维时空中，研究了张量型引力扰动下双平面旋转的AdS黑洞的稳定性。首先，我们用解析方法证明了当角动量的大小a小于r{sub h}{sup 2}/R（其中r{sub h}为视界半径，R为AdS曲率半径）时，不存在不稳定模。然后，通过对拟正规模的数值计算，利用相关微扰方程的可分性，我们证明了对于a>r{sub h}{sup 2}/R的快速旋转黑洞，虽然增长率很小（为逆视界半径的10{sup-12}阶），但仍存在不稳定性。我们给出的数值证据表明，这种不稳定性是由超辐射。
We study the stability of AdS black 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{sub h}{sup 2}/R, where r{sub 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{sub h}{sup 2}/R, although the growth rate is tiny (of order 10{sup -12} of the inverse horizon radius). We give numerical evidence indicating that this instability is caused by superradiance.