Generalized uncertainty principle and entropy of three-dimensional BTZ black hole

被引:11
|
作者
Zhao Ren [1 ]
Zhang Li-Chun [1 ]
Li Huai-Fan [1 ]
机构
[1] Shanxi Datong Univ, Dept Phys, Datong 037009, Peoples R China
关键词
generalized uncertainty principle; quantum statistics; BTZ black hole; STATISTICAL ENTROPY; DIRAC FIELD; ORDERS;
D O I
10.7498/aps.58.2193
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Applying the new equation of state density motivated by the generalized uncertainty relation in the quantum gravity field, we investigate the black hole entropy on the background of three-dimensional BTZ. When the lambda with the Planck scale, and relative to the dimensions of spacetime introduced in generalized uncertainty relation has a fixed value, we obtain the Bekenstein-Hawking entropy of BTZ black hole and the correction term. Because we have used the new equation of state density, in our results the divergence term appearing in the brick-wall model is removed, at the same time with holding the small mass approximation. Thud, the correction value of the Bekenstein-Hawking entropy of the black hole is derived from the quantum statistical view. It depends the understanding of the correction value of the black hole entropy.
引用
收藏
页码:2193 / 2197
页数:5
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