Bulg. J. Phys. vol.34 no.2 (2007), pp. 092-102



Canonical Entropy of Higher-Dimensional Reissner-Nordström Black Hole

L.-C. Zhang1, H.-F. Li1, R. Zhao2
1Department of Physics, Shanxi Datong University, Datong 037009, P.R. China
2School of Chemical Engineering and Environment, North University of China, Taiyuan 030051 P.R. China
Abstract. Recently, Hawking radiation of the black hole has been studied using the tunnel effect method. It is found the radiation spectrum of the black hole is not a strictly pure thermal spectrum. How the departure from pure thermal spectrum affects the entropy? This is a very interesting problem. In this paper, we calculate the partition function by energy spectrum obtained by tunnel effect. Using the relation between the partition function and entropy, we derive the expression of entropy the general charged black hole. In our calculation, we not only consider the correction to the black hole entropy due to fluctuation of energy but also consider the effect of the change of the black hole charges on entropy. We discuss higher-dimensional Reissner-Nordström black hole and obtain the relation among the lower limit of energy value, the charges and energy of the black hole. We derive that higher-dimensional Reissner-Nordström black hole cannot approach the extreme black hole by changing its charges.

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