Spectroscopy of the rotating BTZ black hole via adiabatic invariance
arXiv:1204.1786 · doi:10.1007/s11433-012-4836-0
Abstract
According to Bohr-Sommerfeld quantization rule, an equally spaced horizon area spectrum of a static, spherically symmetric black hole was obtained under an adiabatic invariant action. This method can be extended to the rotating black holes. As an example, we apply this method to the rotating BTZ black hole and obtain the quantized spectrum of the horizon area. It is shown that the area spectrum of the rotating BTZ black hole is equally spaced and irrelevant to the rotating parameter, which is consistent with the Bekenstein conjecture. Specifically, the derivation do not need the quasinormal frequencies and the small angular momentum limit.
arXiv comment6 pages, 0 figures, to appear in Sci China Ser G-Phys Mech Astron. arXiv admin note: text overlap with arXiv:1106.2292
References in corpus (19)
- The Black Hole in Three Dimensional Space Time
- Bohr's Correspondence Principle and The Area Spectrum of Quantum Black Holes
- Spectroscopy of the quantum black hole
- The physical interpretation of the spectrum of black hole quasinormal modes
- d-Dimensional Black Hole Entropy Spectrum from Quasi-Normal Modes
- Semiclassical Corrections to the Bekenstein-Hawking entropy of the BTZ Black Hole via Self-Gravitation
- Area spectrum of the Schwarzschild black hole
- New Coordinates for BTZ Black Hole and Hawking Radiation via Tunnelling
- On the Quantum Levels of Isolated Spherically Symmetric Gravitational Systems
- Spectrum of Charged Black Holes - The Big Fix Mechanism Revisited
- Radiation via Tunneling in the Charged BTZ Black Hole
- Black hole spectroscopy via adiabatic invariance
- Spinning Dilaton Black Holes in 2 +1 Dimensions: Quasi-normal Modes and the Area Spectrum
- Area spectra of the rotating BTZ black hole from quasinormal modes
- Instructive Properties of Quantized Gravitating Dust Shell
- Area spectra of near extremal black holes
- Area spectrum of the d-dimensional Reissner-Nordstrom black hole in the small charge limit
- Sommerfeld's quantum condition of action and the spectra of Schwarzschild black hole
- Asymptotic Spectrum of Kerr Black Holes in the Small Angular Momentum Limit