Area spectra of BTZ black holes via periodicity  

作　　者：LIU XianMing ZENG XiaoXiong ZHOU ShiWei 

机构地区：[1]Department of Physics,Hubei University for Nationalities [2]School of Science,Chongqing Jiaotong University [3]Department of Foundation,Academy of Armored Forces Engineering

出　　处：《Science China(Physics,Mechanics & Astronomy)》2013年第9期1627-1631,共5页中国科学：物理学、力学、天文学（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant Nos.10773002,10875012 and 11175019);the Team Research Program of Hubei University for Nationalities (Grant No.MY2011T006);Beijing Postdoctoral Research Foundation (Grant No.71006015201201)

摘　　要：Motivated by the recent work that the periodicity of a black hole is responsible for the area spectrum,we exclusively utilize the period of motion of an outgoing wave,which is shown to be related to the vibrational frequency of the perturbed black hole,to study area spectra of a non-rotating BTZ black hole and a rotating BTZ black hole.It is found that the area spectra and entropy spectra for both space times are equally spaced.In addition,we find that though the entropy spectra of the 3-dimensional BTZ black holes take the same form as those of the 4-dimensional black holes,the area spectra depend on the dimension of space times.Our result confirms that the entropy spectrum of a black hole is more fundamental than the area spectrum.Motivated by the recent work that the periodicity of a black hole is responsible for the area spectrum,we exclusively utilize the period of motion of an outgoing wave,which is shown to be related to the vibrational frequency of the perturbed black hole,to study area spectra of a non-rotating BTZ black hole and a rotating BTZ black hole.It is found that the area spectra and entropy spectra for both space times are equally spaced.In addition,we find that though the entropy spectra of the 3-dimensional BTZ black holes take the same form as those of the 4-dimensional black holes,the area spectra depend on the dimension of space times.Our result confirms that the entropy spectrum of a black hole is more fundamental than the area spectrum.

关 键 词：area spectrum PERIODICITY BTZ black holes 

分 类 号：P145.8[天文地球—天体物理] O174[天文地球—天文学]