摘要
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,this method is applied to the rotating BTZ black hole and the quantized spectrum of the horizon area is obtained.It is shown that the area spectrum of the rotating BTZ black hole is also equally spaced and irrelevant to the rotating parameter,which is consistent with the Bekenstein conjecture.Specifically,the derivation does not need the quasinormal frequencies and the small angular momentum limit.
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, this method is applied to the rotating BTZ black hole and the quantized spectrum of the horizon area is obtained. It is shown that the area spectrum of the rotating BTZ black hole is also equally spaced and irrelevant to the rotating parameter, which is consistent with the Bekenstein conjecture. Specifically, the derivation does not need the quasinormal frequencies and the small angular momentum limit.
基金
supported by the National Natural Science Foundation of China(Grant Nos.10773002,10875012 and 11175019)
the Fundamental Research Funds for the Central Universities(Grant No.105116)
the Team Research Program of Hubei University for Nationalities(Grant No. MY2011T006)
