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Black Hole Entropy of IR Modified Hořava-Lifshitz Gravity in Quantum Statistics Perspective

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Abstract

In this paper we investigate quantum statistical entropy for the Kehagias-Sfetsos black hole in IR modified Hořava-Lifshitz gravity by using t’ Hooft’s brick-wall method and generalized uncertainty principle method. By carefully calculating, we obtain the brick-wall entropy S BWM =A/4 and the generalized uncertainty principle entropy S GUP =A/96πγ. It is found if we view from quantum statistics, the brick-wall entropy and generalized uncertainty principle entropy may possibly is proportional to the event horizon area. This type area entropy is also justified by Wang et al. (Phys. Rev. D 81:083006, 2010). The study of the quantum statistical entropy may shed light on the understand of Hořava-Lifshitz gravity.

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Authors and Affiliations

  1. College of Physics and Electronic Engineering, Xinyang Normal University, Xinyang, 464000, P.R. China

    Molin Liu, Junwang Lu & Yonglei Jia

  2. Department of Physics, Liaoning Normal University, Dalian, 116029, P.R. China

    Jianbo Lu

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  1. Molin Liu
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  2. Junwang Lu
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  3. Yonglei Jia
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  4. Jianbo Lu
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Correspondence to Molin Liu.

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Liu, M., Lu, J., Jia, Y. et al. Black Hole Entropy of IR Modified Hořava-Lifshitz Gravity in Quantum Statistics Perspective. Int J Theor Phys 50, 1978–1989 (2011). https://doi.org/10.1007/s10773-011-0712-3

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  • DOI: https://doi.org/10.1007/s10773-011-0712-3

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