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Advances in High Energy Physics
Volume 2014, Article ID 306256, 4 pages
http://dx.doi.org/10.1155/2014/306256
Research Article

Cardy-Verlinde Formula of Noncommutative Schwarzschild Black Hole

Department of Mathematics, COMSATS Institute of Information Technology, Sahiwal 57000, Pakistan

Received 19 November 2013; Revised 3 February 2014; Accepted 13 February 2014; Published 18 March 2014

Academic Editor: George Siopsis

Copyright © 2014 G. Abbas. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Abstract

Few years ago, Setare (2006) has investigated the Cardy-Verlinde formula of noncommutative black hole obtained by noncommutativity of coordinates. In this paper, we apply the same procedure to a noncommutative black hole obtained by the coordinate coherent approach. The Cardy-Verlinde formula is entropy formula of conformal field theory in an arbitrary dimension. It relates the entropy of conformal field theory to its total energy and Casimir energy. In this paper, we have calculated the total energy and Casimir energy of noncommutative Schwarzschild black hole and have shown that entropy of noncommutative Schwarzschild black hole horizon can be expressed in terms of Cardy-Verlinde formula.