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2009

Semiclassical instabilities of Kerr-AdS black holes

Monteiro, Ricardo, Perry, Malcolm J., Santos, Jorge E.

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We study the thermodynamic stability of the Kerr-AdS black hole from the perturbative corrections to the gravitational partition function.

The line of critical stability is identified by the appearance of a negative mode of the Euclidean action that renders the partition function ill-defined.
The eigenvalue problem, consisting of a system of three coupled partial differential equations for the metric perturbations, is solved numerically.
The agreement with the standard condition of thermodynamic stability in the grand canonical ensemble is remarkable.

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