2012/04/09 by Xian-Ming Liu, XianMing Liu, Xiao-Xiong Zeng +3 · 1 citation
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #gr-qc
paper · pdf · doi:10.1007/s11433-012-4836-0
published as Sci China-Phys Mech Astron, 2012, 55: 1--4 · 6 pages, 0 figures, to appear in Sci China Ser G-Phys Mech Astron. arXiv admin note: text overlap with arXiv:1106.2292
arxiv created 2012/04/09 · arxiv updated 2012/07/25 · openalex publication_date 2012/08/09 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.