Quasinormal modes and thermodynamic phase transitions

Details Quasinormal modes and thermodynamic phase transitions Quasinormal modes and thermodynamic phase transitions

2008-02-13

arxiv.org/abs/0802.1889v1

Phys.Rev.D77:087501,2008

Physics

High Energy Physics

High Energy Physics - Theory

3 pages, submitted to Phys.Rev.D as a Brief Report

Scientific paper

10.1103/PhysRevD.77.087501

It has recently been suggested that scalar, Dirac and Rarita-Schwinger perturbations are related to thermodynamic phase transitions of charged (Reissner-Nordstr\"om) black holes. In this note we show that this result is probably a numerical coincidence, and that the conjectured correspondence does not straightforwardly generalize to other metrics, such as Kerr or Schwarzschild (anti-)de Sitter. Our calculations do not rule out a relation between dynamical and thermodynamical properties of black holes, but they suggest that such a relation is non-trivial.

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