Instability of generalised AdS black holes and thermal field theory

Abstract

We study black holes in AdS-like spacetimes, with the horizon given by an arbitrary positive curvature Einstein metric. A criterion for classical instability of such black holes is found in the large and small black hole limits. Examples of large unstable black holes have a Böhm metric as the horizon. These, classically unstable, large black holes are locally thermodynamically stable. The gravitational instability has a dual description, for example by using the $Ad{S}_7\times S^4$ version of the AdS/CFT correspondence. The instability corresponds to a critical temperature of the dual thermal field theory defined on a curved background.

1+16 pages. 1 figure. LaTeX. Minor clarifications

References in corpus (1)

• Bohm and Einstein-Sasaki Metrics, Black Holes and Cosmological Event Horizons

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