The rotating black hole interior: Insights from gravitational collapse in AdS3 spacetime
The rotating black hole interior: Insights from gravitational collapse in AdS3 spacetime
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DOI：
10.1103/physrevd.101.104026
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发表时间：
2020-02
期刊：
影响因子：
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通讯作者：
A. Pandya;F. Pretorius
中科院分区：
文献类型：
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作者：
A. Pandya;F. Pretorius
本文介绍了三维渐近反德西特（AdS）时空中旋转黑洞形成的数值研究结果，重点研究了黑洞内部的结构。虽然由于各种各样的原因，$AdS_3$中的黑洞具有理论意义，但我们选择将该系统主要作为由引力坍缩形成的天体物理（四维）黑洞的玩具模型来研究。我们研究了角动量对视界内部几何结构的影响，并看到内部结构的质变是自旋参数的函数。对于低自旋，我们发现一个中心类空间曲率奇点形成，连接到一个奇异的零柯西视界。对于超过与Dias， Reall和Santos的线性分析一致的阈值的自旋，柯西视界上的曲率仍然是有限的，这表明违反了强宇宙审查猜想。进一步增加自旋导致奇点的类空间分支的相对大小减小，在第二个阈值以上完全消失。在这些高自旋的情况下，内部演化受到一个规则的柯西视界的限制，它一直向内延伸到一个规则的类时起源。我们进一步探索了测地线聚焦（“重力冲击波”）效应，该效应预计将发生在内部视界的外向分支上，由Marolf和Ori首先描述。值得注意的是，我们在我们形成的所有黑洞中都观察到这种效应，即使是那些在演化早期内部视界坍塌为零半径的黑洞。
We present results from a numerical study of rotating black hole formation in 3-dimensional asymptotically anti-de Sitter (AdS) spacetime, focusing on the structure of the black hole interior. While black holes in $AdS_3$ are of theoretical interest for a wide variety of reasons, we choose to study this system primarily as a toy model for astrophysical (4-dimensional) black holes formed from gravitational collapse. We investigate the effect of angular momentum on the geometry inside the event horizon, and see qualitative changes in the interior structure as a function of the spin parameter. For low spins, we find that a central spacelike curvature singularity forms, connecting to a singular, null Cauchy horizon. For spins above a threshold consistent with the linear analysis of Dias, Reall and Santos, curvature on the Cauchy horizon remains bounded, signaling a violation of the strong cosmic censorship conjecture. Further increasing the spin leads to a decrease in the relative size of the spacelike branch of the singularity, which vanishes completely above a second threshold. In these high-spin cases, the interior evolution is bounded by a regular Cauchy horizon, which extends all the way inward to a regular, timelike origin. We further explore the geodesic focusing ("gravitational shock-wave") effect predicted to occur along the outgoing branch of the inner horizon, first described by Marolf and Ori. Remarkably, we observe the effect at late times in all of the black holes we form, even those in which the inner apparent horizon collapses to zero radius early in their evolution.