Black hole spectroscopy via adiabatic invariance
arXiv:1106.2292 · doi:10.1016/j.physletb.2011.06.025
Abstract
During the last years, one had to combine the proposal about how quasinormal frequencies are related with black holes and the proposal about the adiabatic invariance of black holes in order to derive the quantized entropy spectrum and its minimum change for several black holes. In this letter we exclusively utilize the statement that the black hole horizon area is an adiabatic invariant and derive an equally spaced entropy spectrum of a black hole with its quantum to be equal to the one given by Bekenstein. Interestingly, in our approach no concept of quasi-normal mode is needed.
v1: 6 pages, LaTeX, no figures, to appear in Phys. Lett. B; v2: minor changes to match published version
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Cited by in corpus (6)
- Thermodynamics and Spectroscopy of Schwarzschild black hole surrounded by Quintessence
- Spectroscopy of a Reissner-Nordström black hole via an action variable
- Periodicity and area spectrum of black holes
- Quasi-normal modes, area spectra and multi-horizon spacetimes
- Spectroscopy of the rotating BTZ black hole via adiabatic invariance
- On black hole spectroscopy via quantum tunneling