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arXiv 1402.6215hep-thgr-qc
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旋转黑洞的不稳定性:大维分析

Instability of rotating black holes: large D analysis

Roberto Emparan, Ryotaku Suzuki, Kentaro Tanabe

摘要:

通过对维数D的倒数进行展开,研究了具有等角动量的奇维旋转黑洞的稳定性。普遍性在大$D$允许我们计算的准正规模式下,以领先的顺序展开的复杂频率解析。我们确定了发病的非轴对称,酒吧模式的不稳定性在一个特定的有限旋转,和轴对称不稳定性在较大的旋转。前者发生在阈值的模式成为超辐射,并在超自旋制度之前达到。我们的研究结果完全证实了在数值研究中发现的图片,具有很好的定量一致性。我们将分析推广到Anti-deSitter空间中的同类黑洞,发现了相同的定性特征。我们还讨论了外观在高频率的(稳定)拟正规模式的通用集。

英文摘要:

We study the stability of odd-dimensional rotating black holes with equal angular momenta by performing an expansion in the inverse of the number of dimensions D. Universality at large $D$ allows us to calculate analytically the complex frequency of quasinormal modes to next-to-leading order in the expansion. We identify the onset of non-axisymmetric, bar-mode instabilities at a specific finite rotation, and axisymmetric instabilities at larger rotation. The former occur at the threshold where the modes become superradiant, and before the ultraspinning regime is reached. Our results fully confirm the picture found in numerical studies, with very good quantitative agreement. We extend the analysis to the same class of black holes in Anti-deSitter space, and find the same qualitative features. We also discuss the appearance at high frequencies of the universal set of (stable) quasinormal modes.

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