Spectroscopy of the rotating BTZ black hole via adiabatic invariance

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.

6 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 (6)

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• Black hole spectroscopy via adiabatic invariance
• Spinning Dilaton Black Holes in 2 +1 Dimensions: Quasi-normal Modes and the Area Spectrum
• Area spectra of near extremal black holes
• Area spectrum of the d-dimensional Reissner-Nordstrom black hole in the small charge limit
• Asymptotic Spectrum of Kerr Black Holes in the Small Angular Momentum Limit