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Gravitational duals to the grand canonical ensemble abhor Cauchy horizons

Published version
Peer-reviewed

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Authors

Hartnoll, Sean A. 
Horowitz, Gary T. 
Kruthoff, Jorrit 
Santos, Jorge E. 

Abstract

Abstract: 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.

Description

Keywords

Regular Article - Theoretical Physics, Black Holes, Spacetime Singularities, AdS-CFT Correspondence, Holography and condensed matter physics (AdS/CMT)

Journal Title

Journal of High Energy Physics

Conference Name

Journal ISSN

1029-8479

Volume Title

2020

Publisher

Springer Berlin Heidelberg