Entropy of Scalar Field in 3+1 Dimensional Reissner-Nordstrom de Sitter Black Hole Background

Details Entropy of Scalar Field in 3+1 Dimensional Reissner-Nordstrom de Sitter Black Hole Background Entropy of Scalar Field in 3+1 Dimensional Reissner-Nordstrom de Sitter Black Hole Background

2002-12-13

arxiv.org/abs/gr-qc/0212060v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Latex,15 pages; a few discussions added, a new reference added

Scientific paper

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 Schwarzschild like coordinates are used it is found that two radial brick wall cut-off parameters are 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 divergent in both the cut-off parameters.

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