Cardy-Verlinde Formula of Non-Commutative Schwarzschild Black Hole

Abstract

Few years ago, Setare \cite{1} has investigated the Cardy-Verlinde formula of non-commutative black hole obtained by non-commutativity of coordinates. In this paper, we apply the same procedure to a non-commutative black hole obtained by the co-ordinate coherent approch. The Cardy-Verlinde formula is entropy formula of conformal field theory in an arbitrary dimension. It relates the entropy of conformal filed theory to its total energy and Casimir energy. In this paper, we have calculated the total energy and Casimir energy of non-commutative Schwarzschild black hole and have shown that entropy of non-commutative Schwarzschild black hole horizon can be expressed in terms of Cardy-Verlinde formula.

9 Pages, no figures, Accepted for Publication in Advances in High Energy Physics. Some typos removed

References in corpus (6)

• Noncommutative geometry inspired charged black holes
• Noncommutative Black Hole Thermodynamics
• Charged rotating noncommutative black holes
• Searching for higher dimensional wormholes with noncommutative geometry
• Noncommutative Schwarzschild Black Hole and Area Law
• Singularities of Noncompact Charged Objects

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