The Entropy of a Quantum Field in a Charged Kerr Black Hole

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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13 pages, to be appear in Phy. Lett. A

Scientific paper

10.1016/0375-9601(96)00067-9

We calculate the entropies of the system of classical particles and a quantum scalar field by using the brick wall method in thermal bath in a charged Kerr black hole spacetime. Their leading terms at Hartle-Hawking temperature $T_H = \kappa/(2 \pi) $ are given by $ S_{cl} \approx N \ \ln \left( \frac{A_b}{\epsilon^2} \right)$, and $S \approx N' \frac{A_H}{\epsilon^2}$, where $A_b$ and $A_H$ are the area of the box and the horizon respectively.

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