Generalized uncertainty principle and tunnelin gradiation of the SAdS5 black hole |
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Authors: | Zhao Ren Zhang Li-Chun Wu Yue-Qin and Li Huai-Fan |
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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 |
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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. |
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Keywords: | generalized uncertainty principle correction of
Bekenstein--Hawking entropy tunneling radiation |
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