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Correction to Entropy of Schwarzschild Black Hole by Modified Dispersion Relation

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Abstract

Taking WKB approximation to solve the scalar field equation in the Schwarzschild black hole spacetime, we can get the classical momenta. Substituting the classical momenta into state density equation corrected by the modified dispersion relation, we will obtain the number of quantum states with energy less than ω. Then, it is used to calculate the statistical-mechanical entropy of the scalar field in the Schwarzschild black hole spacetime. By taking exact method, we obtained the leader term of entropy which is proportional to the event horizon area and correction terms take the forms of ln A, A −1ln A, A −1 and so on.

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Authors and Affiliations

  1. Orient Science and Technology College, Hunan Agricultural University, ChangSha, 410128, Hunan, People’s Republic of China

    Fan Zhao

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  1. Fan Zhao
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Correspondence to Fan Zhao.

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Zhao, F. Correction to Entropy of Schwarzschild Black Hole by Modified Dispersion Relation. Int J Theor Phys 50, 3509–3514 (2011). https://doi.org/10.1007/s10773-011-0858-z

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  • DOI: https://doi.org/10.1007/s10773-011-0858-z

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