Multipole hair of Schwarzschild-Tangherlini black holes
Multipole hair of Schwarzschild-Tangherlini black holes
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史瓦西-坦格里尼黑洞的多极毛
DOI：
10.1063/1.5124502
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发表时间：
2019
影响因子：
1.3
通讯作者：
M. Fox
中科院分区：
文献类型：
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作者：
M. Fox
我们研究了一个电点电荷的场，该点电荷被缓慢地降低到一个$n + 1$维Schwarzschild-Tangherlini黑洞中。我们发现，如果$n > 3$，那么可数无穷非零多极矩表现为观察者以外的事件视界作为收费福尔斯。这表明黑洞的最终状态不是由Reissner-Nordstr“om-Tangherlini几何所表征的。相反，对于奇$n$，最终状态要么拥有一个简并的视界，经历了一个不连续的拓扑变换过程中的电荷，或两者兼而有之。对于偶数n，最终状态不保证是渐近平坦的。
We study the field of an electric point charge that is slowly lowered into an $n + 1$ dimensional Schwarzschild-Tangherlini black hole. We find that if $n > 3$, then countably infinite nonzero multipole moments manifest to observers outside the event horizon as the charge falls in. This suggests the final state of the black hole is not characterized by a Reissner-Nordstr\"om-Tangherlini geometry. Instead, for odd $n$, the final state either possesses a degenerate horizon, undergoes a discontinuous topological transformation during the infall of the charge, or both. For even $n$, the final state is not guaranteed to be asymptotically-flat.