Discontinuities in Scalar Perturbations of Topological Black Holes
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We study the perturbative behaviour of topological black holes. We calculate both analytically and numerically the quasi-normal modes of scalar perturbations. In the case of small black holes we find discontinuities of the quasi-normal modes spectrum at the critical temperature and we argue that this is evidence of a second-order phase transition.
23 pages, 17 figures, published version
23 pages, 17 figures, published version