TY - JOUR

T1 - Holographic stress-energy tensor near the Cauchy horizon inside a rotating black hole

AU - Ishibashi, Akihiro

AU - Maeda, Kengo

AU - Mefford, Eric

N1 - Funding Information:
This work was supported in part by Japan Society for the Promotion of Science (JSPS) KAKENHI Grants No.15K05092(AI), No.26400280, and No.17K05451 (K.M.) as well as by National Science Foundation (NSF) Grant No.PHY-1504541 (E.M.).
Publisher Copyright:
© 2017 American Physical Society.
Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.

PY - 2017/7/15

Y1 - 2017/7/15

N2 - 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.

AB - 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.

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U2 - 10.1103/PhysRevD.96.024005

DO - 10.1103/PhysRevD.96.024005

M3 - Article

AN - SCOPUS:85027040931

VL - 96

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 2

M1 - 024005

ER -