中国物理B ›› 2013, Vol. 22 ›› Issue (5): 50402-050402.doi: 10.1088/1674-1056/22/5/050402

• GENERAL • 上一篇    下一篇

Spectroscopy via adiabatic covariant action for the Bañados-Teitelboim-Zanelli (BTZ) black hole

李慧玲, 林榕, 程丽英   

  1. College of Physics Science and Technology, Shenyang Normal University, Shenyang 110034, China
  • 收稿日期:2012-12-07 修回日期:2012-12-26 出版日期:2013-04-01 发布日期:2013-04-01
  • 基金资助:
    Project supported by the Scientific Research Foundation of the Education Department of Liaoning Province, China (Grant No. L2011195).

Spectroscopy via adiabatic covariant action for the Bañados-Teitelboim-Zanelli (BTZ) black hole

Li Hui-Ling (李慧玲), Lin Rong (林榕), Cheng Li-Ying (程丽英)   

  1. College of Physics Science and Technology, Shenyang Normal University, Shenyang 110034, China
  • Received:2012-12-07 Revised:2012-12-26 Online:2013-04-01 Published:2013-04-01
  • Contact: Li Hui-Ling E-mail:LHL51759@126.com
  • Supported by:
    Project supported by the Scientific Research Foundation of the Education Department of Liaoning Province, China (Grant No. L2011195).

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摘要： Very recently, via the covariant form of the adiabatic invariant I=f pidqi instead of I=∫ pidqi, an equally spaced spectroscopy of a Schwarzschild black hole was derived. The emphasis was given to the covariant of results. In this paper, we extend that work in a spherically symmetric spacetime to the case of a rotating Bañados-Teitelboim-Zanelli (BTZ) black hole. It is noteworthy that the adiabatic covariant action I=f pidqi gives the same value for the black hole spectroscopy in different coordinates. The result shows that the area spectrum is ΔA=8π lP2, which confirms the initial proposal of Bekenstein. And the result is consistent with that already obtained by other methods.

关键词: spectroscopy, adiabatic covariant action, rotating Bañ, ados-Teitelboim-Zanelli (BTZ) black hole

Abstract: Very recently, via the covariant form of the adiabatic invariant I=f pidqi instead of I=∫ pidqi, an equally spaced spectroscopy of a Schwarzschild black hole was derived. The emphasis was given to the covariant of results. In this paper, we extend that work in a spherically symmetric spacetime to the case of a rotating Bañados-Teitelboim-Zanelli (BTZ) black hole. It is noteworthy that the adiabatic covariant action I=f pidqi gives the same value for the black hole spectroscopy in different coordinates. The result shows that the area spectrum is ΔA=8π lP2, which confirms the initial proposal of Bekenstein. And the result is consistent with that already obtained by other methods.

Key words: spectroscopy, adiabatic covariant action, rotating Bañados-Teitelboim-Zanelli (BTZ) black hole

中图分类号:  (Physics of black holes)

  • 04.70.-s
04.70.Dy (Quantum aspects of black holes, evaporation, thermodynamics) 97.60.Lf (Black holes)