Instability of higher dimensional extreme black holes
Instability of higher dimensional extreme black holes
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DOI：
10.1088/0264-9381/30/7/075002
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发表时间：
2012-11
影响因子：
3.5
通讯作者：
Keiju Murata
中科院分区：
文献类型：
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作者：
Keiju Murata
我们研究了真空爱因斯坦方程的极端黑洞解在任意维度上的线性化引力摄动。我们发现控制这种扰动的方程可以在未来事件视界解耦。利用这些方程，我们证明了如果黑洞解满足一定条件，某些规范不变量的横向导数在视界上的晚时间爆炸。我们发现这些条件确实被许多极端的Myers-Perry解所满足，包括五维的所有这类解。
We study linearized gravitational perturbations of extreme black hole solutions of the vacuum Einstein equation in any number of dimensions. We find that the equations governing such perturbations can be decoupled at the future event horizon. Using these equations, we show that the transverse derivatives of certain gauge invariant quantities blow up at late time along the horizon if the black hole solution satisfies certain conditions. We find that these conditions are indeed satisfied by many extreme Myers–Perry solutions, including all such solutions in five dimensions.