Ultraspinning instability: the missing link
Ultraspinning instability: the missing link
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DOI：
10.1007/jhep08(2011)139
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发表时间：
2011-08-01
影响因子：
5.4
通讯作者：
Santos, Jorge E.
中科院分区：
文献类型：
--
作者：
Dias, Oscar J. C.;Monteiro, Ricardo;Santos, Jorge E.
本文研究了d = 7的Myers-Perry黑洞的线性扰动，其中三个角动量中的两个相等，并证明了不稳定性总是出现在极值之前.对于所有较高的奇数d，预期会有类似的结果。我们确定数值的固定扰动，标志着发病的不稳定的模式，保持等距的背景。发病是连续连接的解决方案与一个单一的角动量和所有角动量相等的解决方案之间的先前研究的部门。这表明，近极值不稳定性的性质是相同的超自旋不稳定性的d >= 6单自旋的解决方案，其中的角动量是无界的。我们的结果提出了一个问题，是否有任何极端的迈尔斯-佩里黑洞是稳定的d >= 6。
We study linearized perturbations of Myers-Perry black holes in d = 7, with two of the three angular momenta set to be equal, and show that instabilities always appear before extremality. Analogous results are expected for all higher odd d. We determine numerically the stationary perturbations that mark the onset of instability for the modes that preserve the isometries of the background. The onset is continuously connected between the previously studied sectors of solutions with a single angular momentum and solutions with all angular momenta equal. This shows that the near-extremality instabilities are of the same nature as the ultraspinning instability of d >= 6 singly-spinning solutions, for which the angular momentum is unbounded. Our results raise the question of whether there are any extremal Myers-Perry black holes which are stable in d >= 6.