Open Access
April 2003 Asymptotic black hole quasinormal frequencies
Lubos Motl, Andrew Neitzke
Adv. Theor. Math. Phys. 7(2): 307-330 (April 2003).


We give a new derivation of the quasinormal frequencies of Schwarzschild black holes in d greater than or equal to 4 and Reissner-Nordstrom black holes in d = 4, in the limit of infinite damping. For Schwarzschild in d greater than or equal to 4 we find that the asymptotic real part is THawkinglog(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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Lubos Motl. Andrew Neitzke. "Asymptotic black hole quasinormal frequencies." Adv. Theor. Math. Phys. 7 (2) 307 - 330, April 2003.


Published: April 2003
First available in Project Euclid: 4 April 2005

MathSciNet: MR2015167

Rights: Copyright © 2003 International Press of Boston

Vol.7 • No. 2 • April 2003
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