Instability of generalised AdS black holes and thermal field theory

Details Instability of generalised AdS black holes and thermal field theory Instability of generalised AdS black holes and thermal field theory

2003-04-30

arxiv.org/abs/hep-th/0305001v2

JHEP 0308 (2003) 019

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1088/1126-6708/2003/08/019

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 B\"ohm 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 $AdS_7 \times S^4$ version of the AdS/CFT correspondence. The instability corresponds to a critical temperature of the dual thermal field theory defined on a curved background.

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