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Phys. Rev. D 68, 044005 (2003) [11 pages]

Holography beyond the horizon and cosmic censorship

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Thomas S. Levi*
David Rittenhouse Laboratories, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA

Simon F. Ross
Centre for Particle Theory, Department of Mathematical Sciences, University of Durham, South Road, Durham DH1 3LE, United Kingdom

Received 9 May 2003; published 6 August 2003

We investigate the description of the region behind the event horizon in rotating black holes in the AdS conformal field theory correspondence, using the rotating Bañados-Teitelboim-Zanelli black hole as a concrete example. We extend a technique introduced by Kraus, Ooguri, and Shenker, based on analytically continuing amplitudes defined in a Euclidean space, to include rotation. In the rotating case, boundary amplitudes again have two different bulk descriptions, involving either integration only over the regions outside the black holes’ event horizon, or integration over this region and the region between the event horizon and the Cauchy horizon (inner horizon). We argue that generally, the holographic map will relate the field theory to the region bounded by the Cauchy horizons in spacetime. We also argue that these results suggest that the holographic description of black holes will satisfy strong cosmic censorship.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.68.044005
DOI:
10.1103/PhysRevD.68.044005
PACS:
04.70.-s, 11.25.-w

*Electronic address: tslevi@student.physics.upenn.edu

Electronic address: S.F.Ross@durham.ac.uk