Linear Waves in the Interior of Extremal Black Holes II
Linear Waves in the Interior of Extremal Black Holes II
复制标题
极值黑洞内部的线性波 II
DOI：
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发表时间：
2017
期刊：
影响因子：
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通讯作者：
D. Gajic
中科院分区：
文献类型：
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作者：
D. Gajic
我们考虑极值Kerr黑洞内部区域线性波动方程的解。我们证明了轴对称解可以连续地扩展到柯西视界之外，而且，如果我们假设沿视界的多项式在时间上有适当快的衰减，则它们的局部能量是有限的。我们还将这些结果推广到慢旋转极值Kerr-Newman黑洞的非轴对称解。这些结果类似于Gajic(Commun Math Phys 353(2)，717-770,2017)中关于极值Reissner-Nordström的结果，并与先前建立的次极值情况的结果形成鲜明对比，在次极值情况下，局部能量一般在柯西地平线上爆炸。
We consider solutions to the linear wave equation in the interior region of extremal Kerr black holes. We show that axisymmetric solutions can be extended continuously beyond the Cauchy horizon and, moreover, that if we assume suitably fast polynomial decay in time along the event horizon, their local energy is finite. We also extend these results to non-axisymmetric solutions on slowly rotating extremal Kerr–Newman black holes. These results are the analogues of results obtained in Gajic (Commun Math Phys 353(2), 717–770, 2017) for extremal Reissner–Nordström and stand in stark contrast to previously established results for the subextremal case, where the local energy was shown to generically blow up at the Cauchy horizon.
影响因子：
4.9
作者：
Andersson, Lars;Blue, Pieter
通讯作者：
Blue, Pieter