The entropy of the noncommutative acoustic black hole based on generalized uncertainty principle

Abstract

In this paper we investigate statistical entropy of a 3-dimensional rotating acoustic black hole based on generalized uncertainty principle. In our results we obtain an area entropy and a correction term associated with the noncommutative acoustic black hole when $\lambda$ introduced in the generalized uncertainty principle takes a specific value. However, in this method, it is not needed to introduce the ultraviolet cut-off and divergences are eliminated. Moreover, the small mass approximation is not necessary in the original brick-wall model.

9 pages, no figures; version to appear in PLB. arXiv admin note: substantial text overlap with arXiv:1210.7739

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