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

Abstract

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 $S\approx N^{\prime }\frac{A_H}{{\epsilon }^2}$, where $A_b$ and $A_H$ are the area of the box and the horizon respectively.

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

References in corpus (7)

• Entropy and Area
• On Geometric Entropy
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• Dynamical Origin of the Entropy of a Black Hole
• A Comment on Entropy and Area
• Wavefunction of a Black Hole and the Dynamical Origin of Entropy
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Cited by in corpus (12)

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• Effect of spins on the quantum entropy of black holes
• Quantum entropy of the Kerr black hole arising from gravitational perturbation
• Quantum entropy of the general non-extreme stationary axisymmetric black hole due to minimally coupled quantum scalar field
• Entropy of a Kerr-de Sitter black hole due to arbitrary spin fields
• Entropies of Rotating Charged Black Holes from Conformal Field Theory at Killing Horizons
• Entropies of the general nonextreme stationary axisymmetric black hole: statistical mechanics and thermodynamics
• On the Entropy of a Quantum Field in the 2 + 1 Dimensional Spinning Black Holes
• Why is the black hole entropy (almost) linear in the horizon area?
• Rotating Black Hole Entropy from Two Different Viewpoints
• Can the "brick wall" model present the same results in different coordinate representations?
• Entropy of the Schwarzschild-de Sitter Black Hole due to arbitrary spin fields in different Coordinates