Higher order WKB corrections to black hole entropy in brick wall formalism

Abstract

We calculate the statistical entropy of a quantum field with an arbitrary spin propagating on the spherical symmetric black hole background by using the brick wall formalism at higher orders in the WKB approximation. For general spins, we find that the correction to the standard Bekenstein-Hawking entropy depends logarithmically on the area of the horizon. Furthermore, we apply this analysis to the Schwarzschild and Schwarzschild-AdS black holes and discuss our results.

21 pages, published version

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Cited by in corpus (3)

• Revision of the brick wall method for calculating the black hole thermodynamic quantities
• Scalar field entanglement entropy for small Schwarzschild black hole
• Unruh effect and entropy of Schwarzschild black hole