Linearized stability of extreme black holes
Linearized stability of extreme black holes
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DOI：
10.1103/physrevd.97.061502
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发表时间：
2018-03-28
影响因子：
5
通讯作者：
Khanna, Gaurav
中科院分区：
文献类型：
--
作者：
Burko, Lior M.;Khanna, Gaurav
极端黑洞被认为是不稳定的，因为在极端克尔时空的线性引力扰动下，外尔标量Psi（4）在非常晚的超前时刻沿着它们的事件视界沿着爆炸。我们数值计算，通过解决Teukolsky方程在2 + 1D，所有代数独立的曲率标量多项式的方法存在的限制时，先进的时间沿着事件视界接近无穷大。因此，极端黑洞的视界对于线性化的引力扰动是稳定的。我们认为Psi（4）的发散是选择固定四分体的结果，并且在合适的动力学四分体中，所有Weyl标量，包括Psi（4），接近它们的背景极值Kerr值。我们也作出类似的结论的情况下，标量场扰动的极端克尔。
Extreme black holes have been argued to be unstable, in the sense that under linearized gravitational perturbations of the extreme Kerr spacetime the Weyl scalar Psi(4) blows up along their event horizons at very late advanced times. We show numerically, by solving the Teukolsky equation in 2 + 1D, that all algebraically independent curvature scalar polynomials approach limits that exist when advanced time along the event horizon approaches infinity. Therefore, the horizons of extreme black holes are stable against linearized gravitational perturbations. We argue that the divergence of Psi(4) is a consequence of the choice of a fixed tetrad, and that in a suitable dynamical tetrad allWeyl scalars, including Psi(4), approach their background extreme Kerr values. We make similar conclusions also for the case of scalar field perturbations of extreme Kerr.