Discontinuities in Scalar Perturbations of Topological Black Holes
arXiv:0806.1452 · doi:10.1088/0264-9381/26/10/105004
Abstract
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.
arXiv comment23 pages, 17 figures, published version
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