On the Existence of the Logarithmic Correction Term in Black Hole Entropy-Area Relation

Details On the Existence of the Logarithmic Correction Term in Black Hole Entropy-Area Relation On the Existence of the Logarithmic Correction Term in Black Hole Entropy-Area Relation

2006-06-11

arxiv.org/abs/gr-qc/0606046v1

Gen.Rel.Grav.39:501-509,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 Pages, No Figures

Scientific paper

10.1007/s10714-007-0397-3

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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