Cardy-Verlinde Formula and the Logarithmic Correction of D-dimensional Global Monopole Black Holes

Ren Zhao；Sheng-Li Zhang

Chinese Journal of Physics

43卷6期（2005 / 12 / 01）

1044 - 1050

英文

In this paper, the thermodynamic parameters of the black hole horizon and cosmological horizon are discussed on the background of a d-dimensional global monopole spacetime. It is found that the entropy of the cosmological horizon can be expressed in the form of a Cardy-Verlinde formula. The entropy of the black hole horizon can be expressed in the form of the Cardy-Verlinde formula, if one adopts the methods given by Abbott and Deser to compute the mass of a d-dimensional global monopole black hole. Through a discussion, the relations among the various thermodynamics parameters of the black hole are given. That is, a differential formula for the first law of thermodynamics is obtained. The leading order corrections to the Bekenstein-Hawking entropy caused by a small perturbation are derived. Thus, the corrected expression of the Cardy-Verlinde formula is given.