4.4 Article

Gravitational duals to the grand canonical ensemble abhor Cauchy horizons

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 10, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP10(2020)102

Keywords

Black Holes; Spacetime Singularities; AdS-CFT Correspondence; Holography and condensed matter physics (AdS; CMT)

Funding

  1. DOE [DE-SC0018134]
  2. Simons Investigator award
  3. NSF [PHY1801805]
  4. Simons foundation
  5. STFC [PHY-1504541, ST/P000681/1]
  6. J. Robert Oppenheimer Visiting Professorship
  7. BIS National E-infrastructure capital grant [ST/J005673/1]
  8. STFC capital grant [ST/H008586/1]
  9. STFC DiRAC Operations grant [ST/K00333X/1]
  10. STFC [ST/P000673/1, ST/T00049X/1] Funding Source: UKRI

Ask authors/readers for more resources

The gravitational dual to the grand canonical ensemble of a large N holographic theory is a charged black hole. These spacetimes - for example Reissner- Nordstrom-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.

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