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

Akihiro Ishibashi, Kengo Maeda, Eric Mefford

Research output: Contribution to journalArticle

Abstract

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.

LanguageEnglish
Article number024005
JournalPhysical Review D
Volume96
Issue number2
DOIs
StatePublished - 2017 Jul 15

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horizon
tensors
event horizon
energy
angular momentum
flux density
gravitation
expansion

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Cite this

Holographic stress-energy tensor near the Cauchy horizon inside a rotating black hole. / Ishibashi, Akihiro; Maeda, Kengo; Mefford, Eric.

In: Physical Review D, Vol. 96, No. 2, 024005, 15.07.2017.

Research output: Contribution to journalArticle

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