Ultraspinning instability of rotating black holes
Ultraspinning instability of rotating black holes
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DOI：
10.1103/physrevd.82.104025
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发表时间：
2010-11-10
影响因子：
5
通讯作者：
Santos, Jorge E.
中科院分区：
文献类型：
--
作者：
Dias, Oscar J. C.;Figueras, Pau;Santos, Jorge E.
Emparan和Myers推测d >= 6维的快速旋转的Myers- perry黑洞是不稳定的。在之前的一篇论文中，我们用数值方法发现了d = 8,9时单旋迈尔斯-佩里黑洞轴对称超旋不稳定性的开始。这个阈值也标志着轴对称解的新分支的分叉，这些分支被推测与静止解的相图中的黑色环、黑色土星和其他家族有关。我们确定，这种不稳定性也存在于d = 6和d = 10,11。本文首次详细讨论了扰动的边界条件，并证明了它们保持了原始迈尔斯-佩里黑洞的角速度和温度。这一性质是建立在一般旋转背景下这种不稳定性存在的热力学必要条件的基础。我们还证明了先前的一个论断，即超旋振不能是纯规范模态。最后，我们发现了旋转的黑弦和膜的新的超旋格雷戈里-拉弗拉姆不稳定性，它们恰好出现在上述热力学准则预测的临界旋转处。后者是对Gubser-Mitra猜想的改进。
Rapidly rotating Myers-Perry black holes in d >= 6 dimensions were conjectured to be unstable by Emparan and Myers. In a previous publication, we found numerically the onset of the axisymmetric ultraspinning instability in the singly spinning Myers-Perry black hole in d = 8, 9. This threshold also signals a bifurcation to new branches of axisymmetric solutions with pinched horizons that are conjectured to connect to the black ring, black Saturn and other families in the phase diagram of stationary solutions. We firmly establish that this instability is also present in d = 6 and in d = 10, 11. The boundary conditions of the perturbations are discussed in detail for the first time, and we prove that they preserve the angular velocity and temperature of the original Myers-Perry black hole. This property is fundamental to establishing a thermodynamic necessary condition for the existence of this instability in general rotating backgrounds. We also prove a previous claim that the ultraspinning modes cannot be pure gauge modes. Finally we find new ultraspinning Gregory-Laflamme instabilities of rotating black strings and branes that appear exactly at the critical rotation predicted by the aforementioned thermodynamic criterium. The latter is a refinement of the Gubser-Mitra conjecture.