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Generalized uncertainty principle and correction value to the black hole entropy

Zhao Hai-Xia·Li Huai-Fan·Hu Shuang-Qi·Zhao Ren
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Abstract

Recently, there has been much attention devoted to resolving the quantum corrections to the Bekenstein-Hawking entropy of the black hole. In particular, many researchers have expressed a vested interest in the coefficient of the logarithmic term of the black hole entropy correction term. In this paper, we calculate the correction value of the black hole entropy by utilizing the generalized uncertainty principle and obtain the correction term caused by the generalized uncertainty principle. Because in our calculation we think that the Bekenstein-Hawking area theorem is still valid after considering the generalized uncertainty principle, we derive that the coefficient of the logarithmic term of the black hole entropy correction term is negative. This result is different from the known result at present. Our method is valid not only for single horizon spacetime but also for double horizons spacetime. In the whole process, the physics idea is clear and calculation is simple. It offers a new way for studying the condition that Bekenstein-Hawking area theorem is valid.

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Zhao Hai-Xia, Li Huai-Fan, Hu Shuang-Qi, Zhao Ren. 2006-08-04. Generalized uncertainty principle and correction value to the black hole entropy. https://doi.org/10.1088/0253-6102%2F48%2F3%2F017

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