Discontinuities in Scalar Perturbations of Topological Black Holes

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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23 pages, 17 figures, published version

Scientific paper

10.1088/0264-9381/26/10/105004

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.

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