Holographic stress-energy tensor near the Cauchy horizon inside a rotating black hole
Holographic stress-energy tensor near the Cauchy horizon inside a rotating black hole
复制标题
旋转黑洞内柯西视界附近的全息应力能张量
DOI：
10.1103/physrevd.96.024005
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发表时间：
2017
影响因子：
5
通讯作者：
Eric Mefford
中科院分区：
文献类型：
--
作者：
Akihiro Ishibashi;Kengo Maeda;Eric Mefford
利用全息方法研究了具有等角动量的五维旋转Myers-Perry小黑洞中强耦合共形场论的应力-能量张量.作为一个引力对偶，我们通过应用“导数展开”方法，推广Haddad的工作[Classical Quantum Gravity 29，245001（2012）CQGRDG 0264 -938110.1088/0264-9381/29/24/245001]，微扰地构造一个黑液滴解，并解析计算我们解的全息应力-能量张量。我们发现，应力能量张量是有限的，在未来和过去的外（事件）视界和能量密度是负的事件视界外，由于霍金效应。此外，我们将全息方法应用于柯西视界的量子不稳定性问题，因为通过构造，我们的黑液滴解也允许柯西视界内。我们分析表明，零零分量的全息应力能量张量负发散柯西视界，这表明出现了一个奇点，有利于强宇宙审查。
We investigate a stress-energy tensor for a conformal field theory (CFT) at strong coupling inside a small five-dimensional rotating Myers-Perry black hole with equal angular momenta by using the holographic method. As a gravitational dual, we perturbatively construct a black droplet solution by applying the “derivative expansion” method, generalizing the work of Haddad [Classical Quantum Gravity 29, 245001 (2012)CQGRDG0264-938110.1088/0264-9381/29/24/245001] and analytically compute the holographic stress-energy tensor for our solution. We find that the stress-energy tensor is finite at both the future and past outer (event) horizons and that the energy density is negative just outside the event horizons due to the Hawking effect. Furthermore, we apply the holographic method to the question of quantum instability of the Cauchy horizon since, by construction, our black droplet solution also admits a Cauchy horizon inside. We analytically show that the null-null component of the holographic stress-energy tensor negatively diverges at the Cauchy horizon, suggesting that a singularity appears there, in favor of strong cosmic censorship.