Area spectrum and entropy spectrum of Schwarzschild black hole inspired by noncommutative geometry

Wei Shaowen; Liu Yuxiao; Zhao Zhenhua; Fu Chun-e

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Area spectrum and entropy spectrum of Schwarzschild black hole inspired by noncommutative geometry

Wei Shaowen 1,Liu Yuxiao 2 *,Zhao Zhenhua 3,Fu Chun-e 4

1.Institute of Theoretical Physics, Lanzhou University, LanZhou730000

2.Institute of Theoretical Physics, Lanzhou University, LanZhou 730000

3.Institute ofT heoretical Physics, Lanzhou University, LanZhou 730000

4.Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000

*Correspondence author

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Funding: The National Natural Science Foundation ofChina （No.No. 11075065）, the Doctoral Program Foundation ofInstitutions of Higher Education of China （No.No.20090211110028）, the Huo Ying-Dong Education Foundation ofChinese Ministry of Education （No.No. 121106）

Opened online:25 October 2012

Accepted by: none

Citation: Wei Shaowen,Liu Yuxiao,Zhao Zhenhua.Area spectrum and entropy spectrum of Schwarzschild black hole inspired by noncommutative geometry[OL]. [25 October 2012] http://en.paper.edu.cn/en_releasepaper/content/4491625

It is known that, in the noncommutative Schwarzschild black hole spacetime, the point-like object is replaced by the smeared object, whose mass density is described by a Gaussian distribution of minimal width √￣θ with θ the noncommutative parameter. In this paper, the area spectrum and entropy spectrum for the noncommutative Schwarzschild black hole with 0≤θ≤（M/1.90412)2 are investigated. By the use of the new physical interpretation of the quasinormal modes of black holes presented by Maggiore, we obtain the quantized area spectrum and entropy spectrum with the modified Hod's and Kunstatter's methods, respectively. The results show that: (1) The area spectrum and entropy spectrum are discrete. (2) The spectrum spacings are dependent on the parameter M/√￣θ. (3) The spacing of the area spectrum of the noncommutative Schwarzschild black hole is smaller than that of the conventional one. So does the spacing of the entropy spectrum. (4) The spectra from the two methods are consistent with each other.

Keywords:General relativity; Black Hole; Area spectrum

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