Area and entropy spectra of black holes via an adiabatic invariant

doi:10.1088/1674-1056/21/7/070401

中国物理B ›› 2012, Vol. 21 ›› Issue (7): 70401-070401.doi: 10.1088/1674-1056/21/7/070401

Area and entropy spectra of black holes via an adiabatic invariant

刘成周

Department of Physics, Shaoxing University, Shaoxing 312000, China

收稿日期:2011-12-15 修回日期:2012-01-12 出版日期:2012-06-01 发布日期:2012-06-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11045005) and the Natural Science Foundation of Zhejiang Province of China (Grant No. Y6090739).

Area and entropy spectra of black holes via an adiabatic invariant

Liu Cheng-Zhou(刘成周)^†

Department of Physics, Shaoxing University, Shaoxing 312000, China

Received:2011-12-15 Revised:2012-01-12 Online:2012-06-01 Published:2012-06-01
Contact: Liu Cheng-Zhou E-mail:czlbj20@yahoo.com.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11045005) and the Natural Science Foundation of Zhejiang Province of China (Grant No. Y6090739).

摘要/Abstract

摘要： By considering an adiabatic invariant for black holes, the area and entropy spectra of static spherically-symmetric black holes are investigated. Without using quasi-normal modes of black holes, equally-spaced area and entropy spectra are derived by only utilizing the adiabatic invariant. The spectra for non-charged and charged black holes are calculated, respectively. All these results are consistent with the original Bekenstein spectra.

关键词: black hole, adiabatic invariant, area spectrum, entropy spectrum

Abstract: By considering an adiabatic invariant for black holes, the area and entropy spectra of static spherically-symmetric black holes are investigated. Without using quasi-normal modes of black holes, equally-spaced area and entropy spectra are derived by only utilizing the adiabatic invariant. The spectra for non-charged and charged black holes are calculated, respectively. All these results are consistent with the original Bekenstein spectra.

Key words: black hole, adiabatic invariant, area spectrum, entropy spectrum

中图分类号: (Physics of black holes)

04.70.-s

04.70.Dy (Quantum aspects of black holes, evaporation, thermodynamics)

刘成周 . Area and entropy spectra of black holes via an adiabatic invariant[J]. 中国物理B, 2012, 21(7): 70401-070401.

Liu Cheng-Zhou(刘成周) . Area and entropy spectra of black holes via an adiabatic invariant[J]. Chin. Phys. B, 2012, 21(7): 70401-070401.

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Area and entropy spectra of black holes via an adiabatic invariant

Area and entropy spectra of black holes via an adiabatic invariant

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