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Generalized uncertainty principle and tunnelin gradiation of the SAdS5 black hole
Authors:Zhao Ren  Zhang Li-Chun  Wu Yue-Qin and Li Huai-Fan
Institution:Department of Applied Physics, Xi'an Jiaotong University, Xi'an 710049, China; Institute of Theoretical Physics, Shanxi Datong University, Datong 037009, China;Department of Physics, Shanxi Datong University, Datong 037009, China
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
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