English

Quantum-corrected finite entropy of noncommutative acoustic black holes

High Energy Physics - Theory 2015-02-03 v1 General Relativity and Quantum Cosmology

Abstract

In this paper we consider the generalized uncertainty principle in the tunneling formalism via Hamilton-Jacobi method to determine the quantum-corrected Hawking temperature and entropy for 2+1-dimensional noncommutative acoustic black holes. In our results we obtain an area entropy, a correction logarithmic in leading order, a correction term in subleading order proportional to the radiation temperature associated with the noncommutative acoustic black holes and an extra term that depends on a conserved charge. Thus, as in the gravitational case, there is no need to introduce the ultraviolet cut-off and divergences are eliminated.

Keywords

Cite

@article{arxiv.1502.00179,
  title  = {Quantum-corrected finite entropy of noncommutative acoustic black holes},
  author = {M. A. Anacleto and F. A. Brito and G. C. Luna and E. Passos and J. Spinelly},
  journal= {arXiv preprint arXiv:1502.00179},
  year   = {2015}
}

Comments

Latex, 10 pages, no figure. arXiv admin note: substantial text overlap with arXiv:1405.2046, arXiv:1210.7739