Generalized uncertainty principle and tunnelin gradiation of the SAdS5 black hole

doi:10.1088/1674-1056/19/1/010402

中国物理B ›› 2010, Vol. 19 ›› Issue (1): 10402-010402.doi: 10.1088/1674-1056/19/1/010402

Generalized uncertainty principle and tunnelin gradiation of the SAdS₅ black hole

李怀繁¹, 赵仁², 张丽春², 武月琴²

(1)Department of Applied Physics, Xi'an Jiaotong University, Xi'an 710049, China; (2)Institute of Theoretical Physics, Shanxi Datong University, Datong 037009, China;Department of Physics, Shanxi Datong University, Datong 037009, China

收稿日期:2009-03-23 修回日期:2009-06-08 出版日期:2010-01-15 发布日期:2010-01-15
基金资助:
Project supported by the Natural Science Foundation of Shanxi Province, China (Grant No. 2006011012) and the Shanxi Datong University Doctoral Sustentation Fund, China

Generalized uncertainty principle and tunneling radiation of the SAdS₅ black hole

Zhao Ren(赵仁)^a)b)^†, Zhang Li-Chun(张丽春)^a)b), Wu Yue-Qin(武月琴)^a)b), and Li Huai-Fan(李怀繁)^c)

^a Institute of Theoretical Physics, Shanxi Datong University, Datong 037009, China^b Department of Physics, Shanxi Datong University, Datong 037009, China; ^cDepartment of Applied Physics, Xi'an Jiaotong University, Xi'an 710049, China

Received:2009-03-23 Revised:2009-06-08 Online:2010-01-15 Published:2010-01-15
Supported by:
Project supported by the Natural Science Foundation of Shanxi Province, China (Grant No. 2006011012) and the Shanxi Datong University Doctoral Sustentation Fund, China

摘要/Abstract

摘要： After considering the generalized uncertainty principle, we discuss the quantum tunneling radiation of a five-dimensional Schwarzschild anti de Sitter black hole. The radiation spectrum and the correction value of the Bekenstein--Hawking entropy are derived. In a five-dimensional black hole the one order correction term in the Bekenstein--Hawking entropy correction term is proportional to the third power of the area, and the logarithmic correction term is a two-order small quantity. The correction term is related to the dimension constant introduced in the generalized uncertainty principle. Because the black hole entropy is not divergent, the lowest value of the five-dimensional Schwarzschild anti de Sitter black hole horizon radius is obtained. After considering the generalized uncertainty principle, the radiation spectrum is still consistent with normalization theory.

Abstract: After considering the generalized uncertainty principle, we discuss the quantum tunneling radiation of a five-dimensional Schwarzschild anti de Sitter black hole. The radiation spectrum and the correction value of the Bekenstein--Hawking entropy are derived. In a five-dimensional black hole the one order correction term in the Bekenstein--Hawking entropy correction term is proportional to the third power of the area, and the logarithmic correction term is a two-order small quantity. The correction term is related to the dimension constant introduced in the generalized uncertainty principle. Because the black hole entropy is not divergent, the lowest value of the five-dimensional Schwarzschild anti de Sitter black hole horizon radius is obtained. After considering the generalized uncertainty principle, the radiation spectrum is still consistent with normalization theory.

Key words: generalized uncertainty principle, correction of Bekenstein--Hawking entropy, tunneling radiation

中图分类号: (Quantum aspects of black holes, evaporation, thermodynamics)

04.70.Dy

03.65.Xp (Tunneling, traversal time, quantum Zeno dynamics)

赵仁, 张丽春, 武月琴, 李怀繁. Generalized uncertainty principle and tunnelin gradiation of the SAdS₅ black hole[J]. 中国物理B, 2010, 19(1): 10402-010402.

Zhao Ren(赵仁), Zhang Li-Chun(张丽春), Wu Yue-Qin(武月琴), and Li Huai-Fan(李怀繁) . Generalized uncertainty principle and tunneling radiation of the SAdS₅ black hole[J]. Chin. Phys. B, 2010, 19(1): 10402-010402.

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Generalized uncertainty principle and tunnelin gradiation of the SAdS₅ black hole

Generalized uncertainty principle and tunneling radiation of the SAdS₅ black hole

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