Scalar and gravitational hair for extreme Kerr black holes
Scalar and gravitational hair for extreme Kerr black holes
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DOI：
10.1103/physrevd.103.l021502
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发表时间：
2020-05
影响因子：
5
通讯作者：
L. Burko;G. Khanna;S. Sabharwal
中科院分区：
文献类型：
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作者：
L. Burko;G. Khanna;S. Sabharwal
对于极端Reissner-Nordstr“om黑洞的标量扰动，我们用数值方法证明了Ori前因子等于Aretakis守恒荷.对于一类极端Kerr黑洞的标量或引力扰动，其成员仅在初始包中心的径向位置上变化，我们证明了广义Ori前因子（由有限距离处的扰动场或后期展开得到的表达式）与Aretakis守恒荷之间的线性关系.我们推断，它可以建立，有一个阿雷塔基斯保守的费用的标量或引力扰动的极端克尔黑洞。这个结论，除了计算阿雷塔基斯荷，还可以从有限距离的测量中得出：极端克尔黑洞有引力毛，可以在有限距离测量，违反了唯一性定理。原则上，这种引力毛可以被引力波探测器探测到。
For scalar perturbations of an extreme Reissner-Nordstr\"om black hole we show numerically that the Ori prefactor equals the Aretakis conserved charge. For a family of scalar or gravitational perturbations of an extreme Kerr black hole, whose members vary only in the radial location of the center of the initial packet, we demonstrate a linear relation of a generalized Ori prefactor---a certain expression obtained from the late-time expansion or the perturbation field at finite distances---and the Aretakis conserved charge. We infer that it can be established that there is an Aretakis conserved charge for scalar or gravitational perturbations of extreme Kerr black holes. This conclusion, in addition to the calculation of the Aretakis charge, can be made from measurements at a finite distance: Extreme Kerr black holes have gravitational hair that can be measured at finite distances and violates the uniqueness theorems. This gravitational hair can in principle be detected by gravitational-wave detectors.