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The Entropy of the Complex Scalar Field in a Charged Kerr Black Hole

Min-Ho Lee·Jae Kwan Kim
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Abstract

By using the brick wall method we calculate the thermodynamic potential of the complex scalar field in a charged Kerr black hole. Using it we show that in the Hartle-Hawking state the leading term of the entropy is proportional to $\frac{ A _H}{ε^2}$, which becomes divergent as the system approaches the black hole horizon. The origin of the divergence is that the density of states diverges at the horizon.

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Min-Ho Lee, Jae Kwan Kim. 1996-04-22. The Entropy of the Complex Scalar Field in a Charged Kerr Black Hole. https://arxiv.org/abs/hep-th/9604130

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