Phase Transitions in Charged Topological-AdS Black Holes

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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34 pages, 25 figures, clarifying comments and references added, to appear in JHEP

Scientific paper

10.1088/1126-6708/2008/05/107

We study the perturbative behaviour of charged topological-AdS black holes. We calculate both analytically and numerically the quasi-normal modes of the electromagnetic and gravitational perturbations. Keeping the charge-to-mass ratio constant, we show that there is a second-order phase transition at a critical temperature at which the mass of the black hole vanishes. We pay special attention to the purely dissipative modes appearing in the spectrum as they behave singularly at the critical point.

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