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Instability of generalised AdS black holes and thermal field theory

Sean A. Hartnoll
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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 $AdS_7 \times S^4$ 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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Sean A. Hartnoll. 2003-08-13. Instability of generalised AdS black holes and thermal field theory. https://doi.org/10.1088/1126-6708%2F2003%2F08%2F019

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