On the Entropy of a Quantum Field in the 2 + 1 Dimensional Spinning Black Holes

Abstract

We calculate the entropy of a scalar field in a rotating black hole in 2 + 1 dimension. In the Hartle-Hawking state the entropy is proportional to the horizon area, but diverges linearly in $\sqrt{h}$, where $h$ is the radial cut-off. In WKB approximation the superradiant modes do not contribute to the entropy.

Title changed, Major corrections

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• 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
• Thermodynamics of warped AdS${}_3$ black hole in the brick wall method
• Black hole as an Information Eraser