Generalized uncertainty principle and tunneling radiation of the SAdS5 black hole

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

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.

Keywords: generalized uncertainty principle correction of Bekenstein--Hawking entropy tunneling radiation

Received: 23 March 2009
Revised: 08 June 2009
Accepted manuscript online:

PACS:	04.70.Dy	(Quantum aspects of black holes, evaporation, thermodynamics)
	03.65.Xp	(Tunneling, traversal time, quantum Zeno dynamics)

Fund: Project supported by the Natural Science Foundation of Shanxi Province, China (Grant No. 2006011012) and the Shanxi Datong University Doctoral Sustentation Fund, China

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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 2010 Chin. Phys. B 19 010402

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Generalized uncertainty principle and tunneling radiation of the SAdS₅ black hole