Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2005-05-10
Class.Quant.Grav. 22 (2005) 4113-4128
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
21 pages, 4 figures
Scientific paper
10.1088/0264-9381/22/19/020
We calculate analytically the highly damped quasinormal mode spectra of generic single-horizon black holes using the rigorous WKB techniques of Andersson and Howls\cite{Andersson}. We thereby provide a firm foundation for previous analysis, and point out some of their possible limitations. The numerical coefficient in the real part of the highly damped frequency is generically determined by the behavior of coupling of the perturbation to the gravitational field near the origin, as expressed in tortoise coordinates. This fact makes it difficult to understand how the famous $ln(3)$ could be related to the quantum gravitational microstates near the horizon.
Daghigh Ramin G.
Kunstatter Gabor
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