Gravitational duals to the grand canonical ensemble abhor Cauchy horizons
Gravitational duals to the grand canonical ensemble abhor Cauchy horizons
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DOI：
10.1007/jhep10(2020)102
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发表时间：
2020-06
影响因子：
5.4
通讯作者：
S. Hartnoll;G. Horowitz;J. Kruthoff;Jorge E Santos
中科院分区：
文献类型：
--
作者：
S. Hartnoll;G. Horowitz;J. Kruthoff;Jorge E Santos
大N全息理论巨正则系综的引力对偶是带电黑洞。这些时空--例如Reissner-Nordström-AdS--可以有柯西视界，使得黑洞内部的经典引力动力学不完整。我们表明，（空间均匀）变形的CFT的中性标量算子一般导致黑洞没有内视界。相反，在内部有一个类空的卡斯纳奇点。对于相关的变形，柯西视界永远不会形成。对于某些不相关的变形，柯西视界可以存在于一个特定的温度。我们表明，标量场触发的Einstein-Rosen桥在未来的柯西视界的快速崩溃。最后，我们对在低温极限下，Kasner指数在奇点处表现出吸引子机制的带电双光子黑洞内部进行了一些观察。
The gravitational dual to the grand canonical ensemble of a large N holographic theory is a charged black hole. These spacetimes—for example Reissner-Nordström-AdS—can have Cauchy horizons that render the classical gravitational dynamics of the black hole interior incomplete. We show that a (spatially uniform) deformation of the CFT by a neutral scalar operator generically leads to a black hole with no inner horizon. There is instead a spacelike Kasner singularity in the interior. For relevant deformations, Cauchy horizons never form. For certain irrelevant deformations, Cauchy horizons can exist at one specific temperature. We show that the scalar field triggers a rapid collapse of the Einstein-Rosen bridge at the would-be Cauchy horizon. Finally, we make some observations on the interior of charged dilatonic black holes where the Kasner exponent at the singularity exhibits an attractor mechanism in the low temperature limit.