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On the existence of the logarithmic correction term in black hole entropy-area relation

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Abstract

In this paper we consider a model universe with large extra dimensions to obtain a modified black hole entropy-area relation. We use the generalized uncertainty principle to find a relation between the number of spacetime dimensions and the presence or vanishing of logarithmic prefactor in the black hole entropy-area relation. Our calculations are restricted to the microcanonical ensembles and we show that in the modified entropy-area relation, the microcanonical logarithmic prefactor appears only when spacetime has an even number of dimensions.

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Authors and Affiliations

  1. Department of Physics, Faculty of Basic Science, University of Mazandaran, P. O. Box 47416-1467, Babolsar, Iran

    Kourosh Nozari & A. S. Sefidgar

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  1. Kourosh Nozari
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  2. A. S. Sefidgar
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Nozari, K., Sefidgar, A.S. On the existence of the logarithmic correction term in black hole entropy-area relation. Gen Relativ Gravit 39, 501–509 (2007). https://doi.org/10.1007/s10714-007-0397-3

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  • DOI: https://doi.org/10.1007/s10714-007-0397-3

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