GRAVITATIONAL PERTURBATIONS OF HIGHER DIMENSIONAL ROTATING BLACK HOLES
GRAVITATIONAL PERTURBATIONS OF HIGHER DIMENSIONAL ROTATING BLACK HOLES
复制标题
高维旋转黑洞的引力扰动
DOI：
10.1103/physrevd.74.084021
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发表时间：
2006
影响因子：
2.4
通讯作者：
H. Reall
中科院分区：
文献类型：
--
作者：
Hari K. Kunduri;James Lucietti;H. Reall
要评估高维旋转黑洞的稳定性，需要研究这种背景下的线性引力扰动。我们研究了具有相等角动量的Myers-Perry黑洞在奇数维（大于5维）中的扰动，允许宇宙学常数。我们发现一类扰动的运动方程减少到一个单一的径向方程。在渐近平坦的情况下，我们没有发现任何不稳定的证据。在渐近反德西特的情况下，我们证明了存在一个superradiant的不稳定性，设置在精确的黑洞的角速度超过光速从共形边界的角度来看。我们认为不稳定性的终点可能是一个静止的非轴对称黑洞。
Assessing the stability of higher-dimensional rotating black holes requires a study of linearized gravitational perturbations around such backgrounds. We study perturbations of Myers-Perry black holes with equal angular momenta in an odd number of dimensions (greater than five), allowing for a cosmological constant. We find a class of perturbations for which the equations of motion reduce to a single radial equation. In the asymptotically flat case we find no evidence of any instability. In the asymptotically anti-de Sitter case, we demonstrate the existence of a superradiant instability that sets in precisely when the angular velocity of the black hole exceeds the speed of light from the point of view of the conformal boundary. We suggest that the endpoint of the instability may be a stationary, nonaxisymmetric black hole.