Asymptotic black hole quasinormal frequencies

Details Asymptotic black hole quasinormal frequencies Asymptotic black hole quasinormal frequencies

2003-01-23

arxiv.org/abs/hep-th/0301173v4

Adv.Theor.Math.Phys. 7 (2003) 307-330

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, 4 EPS figures, JHEP3 LaTeX; v2: references added, typos corrected, discussion expanded; v3: references added, small

Scientific paper

We give a new derivation of the quasinormal frequencies of Schwarzschild black holes in d>=4 and Reissner-Nordstrom black holes in d=4, in the limit of infinite damping. For Schwarzschild in d>=4 we find that the asymptotic real part is T_Hawking.log(3) for scalar perturbations and for some gravitational perturbations; this confirms a result previously obtained by other means in the case d=4. For Reissner-Nordstrom in d=4 we find a specific generally aperiodic behavior for the quasinormal frequencies, both for scalar perturbations and for electromagnetic-gravitational perturbations. The formulae are obtained by studying the monodromy of the perturbation analytically continued to the complex plane; the analysis depends essentially on the behavior of the potential in the "unphysical" region near the black hole singularity.

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