Holography beyond the horizon and cosmic censorship

TL;DR

This paper explores how the holographic duality describes regions behind the event horizon of rotating black holes, suggesting a connection to the Cauchy horizon and implications for cosmic censorship in the AdS/CFT framework.

Contribution

It extends a Euclidean amplitude continuation technique to rotating black holes and proposes that the holographic map relates boundary theories to regions bounded by Cauchy horizons.

Findings

Holographic description involves regions outside and between the event and Cauchy horizons.

The holographic map likely relates to the region bounded by Cauchy horizons.

Results support the idea that holography enforces strong cosmic censorship.

Abstract

We investigate the description of the region behind the event horizon in rotating black holes in the AdS/CFT correspondence, using the rotating BTZ black hole as a concrete example. We extend a technique introduced by Kraus, Ooguri and Shenker [hep-th/0212277], 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.