Entropy of the Randall-Sundrum brane world with the generalized uncertainty principle

Abstract

By introducing the generalized uncertainty principle, we calculate the entropy of the bulk scalar field on the Randall-Sundrum brane background without any cutoff. We obtain the entropy of the massive scalar field proportional to the horizon area. Here, we observe that the mass contribution to the entropy exists in contrast to all previous results, which is independent of the mass of the scalar field, of the usual black hole cases with the generalized uncertainty principle.

arXiv comment12 pages. The improved version published in Phys. Rev. D

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