English

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

High Energy Physics - Theory 2015-06-19 v2 General Relativity and Quantum Cosmology

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 λ\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.

Keywords

Cite

@article{arxiv.1405.2046,
  title  = {The entropy of the noncommutative acoustic black hole based on generalized uncertainty principle},
  author = {M. A. Anacleto and F. A. Brito and E. Passos and W. P. Santos},
  journal= {arXiv preprint arXiv:1405.2046},
  year   = {2015}
}

Comments

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