Entropy of scalar fields in 3+1 dimensional constant curvature black hole background

Details Entropy of scalar fields in 3+1 dimensional constant curvature black hole background Entropy of scalar fields in 3+1 dimensional constant curvature black hole background

1998-09-23

arxiv.org/abs/gr-qc/9809063v1

Phys.Rev. D60 (1999) 104003

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, LaTeX

Scientific paper

10.1103/PhysRevD.60.104003

We consider the thermodynamics of minimally coupled massive scalar field in 3+1 dimensional constant curvature black hole background. The brick wall model of 't Hooft is used. When Scharzschild like coordinates are used it is found that apart from the usual radial brick wall cut-off parammeter an angular cut-off parameter is required to regularize the solution. Free energy of the scalar field is obtained through counting of states using the WKB approximation. It is found that the free energy and the entropy are logarithmically divergent in both the cut-off parameters.

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