Quasinormal modes of black holes and dissipative open systems
Abstract
After explaining the physical origin of the quasinormal modes of perturbations in the background geometry of a black hole, I critically review the recent proposal for the quantization of the black-hole area based on the real part of quasinormal modes. As instantons due to the barriers of black-hole potentials lie at the root of a discrete set of complex quasinormal modes frequencies, it is likely that the physics of quasinormal modes can be learned from quantum theory. I propose a connection of a system of quasinormal modes of black holes with a dissipative open system, in particular, the Feshbach-Tikochinsky oscillator. This argument is supported in part by the fact that these two systems have the same group structure SU(1,1) and the same group representation of Hamiltonians; thereby, their quantum states exhibit the same behavior.
Keywords
Cite
@article{arxiv.gr-qc/0512005,
title = {Quasinormal modes of black holes and dissipative open systems},
author = {Sang Pyo Kim},
journal= {arXiv preprint arXiv:gr-qc/0512005},
year = {2007}
}
Comments
RevTex 9 pages, one figure; Talks at Black Hole V, Canada, 2005 and 9th Italian-Korean Symposium, Korea, 2005; note and references added in proof