NDLI: Periodicity and area spectrum of the three dimensional BTZ black hole

Content Provider	Springer Nature Link
Author	Li, Hui Ling Lin, Rong Cheng, Li Ying
Copyright Year	2012
Abstract	Very recently, a new scheme to quantize the horizon area of a black hole has been proposed by Zeng and Liu et al. In this paper, we further apply the analysis to investigate area spectrum of three dimensional BTZ black hole with the cosmological constant $${\Lambda=-1/l^{2}}$$ . The results show that the area spectrum and entropy spectrum are independent of the cosmological constant. The area spectrum of the black hole is $${\Delta A=8\pi l_{P}^{2}}$$ , which confirms the initial proposal of Bekenstein that the area spectrum is independent of the black hole parameters and the spacing is $${8\pi l_{P}^{2}}$$ . This result also confirms the speculation of Maggiore that the periodicity of a black hole may be the origin of the area quantization. In addition, for the rotating and non-rotating BTZ black holes, we obtain the same entropy spectrum $${\triangle S=2\pi}$$ , which is consistent with the result for other black holes. This implies that the entropy spectrum is more fundamental than the area spectrum.
Starting Page	2865
Ending Page	2872
Page Count	8
File Format	PDF
ISSN	00017701
Journal	General Relativity and Gravitation
Volume Number	44
Issue Number	11
e-ISSN	15729532
Language	English
Publisher	Springer US
Publisher Date	2012-07-18
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Periodicity Area spectrum BTZ black hole Theoretical, Mathematical and Computational Physics Cosmology Astronomy, Astrophysics and Cosmology Classical and Quantum Gravitation, Relativity Theory Quantum Physics Differential Geometry
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy

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