Stability of higher dimensional Reissner-Nordstrom-anti-de Sitter black holes
Stability of higher dimensional Reissner-Nordstrom-anti-de Sitter black holes
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DOI：
10.1103/physrevd.78.104017
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发表时间：
2008-09
影响因子：
5
通讯作者：
R. Konoplya;A. Zhidenko
中科院分区：
文献类型：
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作者：
R. Konoplya;A. Zhidenko
我们研究了D维Reissner-Nordstroem-anti-de-Sitter度规作为Einstein-Maxwell方程的解的稳定性。证明了在D=5，6…11维时空中，渐近反德西特(ADS)黑洞对于所有电荷和反德西特半径的值都是动态稳定的。这与Gubser在N=8规范超引力下发现的RNAdS黑洞的动力学不稳定性并不矛盾，因为后者的不稳定性来自与系统耦合的标量场的快子模。众所周知，在某些参数范围内，ADS黑洞在热力学上是渐近不稳定的，然而，正如我们在这里所展示的，它们在引力扰动下是稳定的。
We investigate stability of the D-dimensional Reissner-Nordstroem-anti-de Sitter metrics as solutions of the Einstein-Maxwell equations. We have shown that asymptotically anti-de Sitter (AdS) black holes are dynamically stable for all values of charge and anti-de Sitter radius in D=5,6...11 dimensional space-times. This does not contradict dynamical instability of RNAdS black holes found by Gubser in N=8 gauged supergravity, because the latter instability comes from the tachyon mode of the scalar field, coupled to the system. Asymptotically AdS black holes are known to be thermodynamically unstable for some region of parameters, yet, as we have shown here, they are stable against gravitational perturbations.