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

摘要

We consider the thermodynamics of minimally coupled massive scalar field in3+1 dimensional constant curvature black hole background. The brick wall modelof 't Hooft is used. When Schwarzschild like coordinates are used it is foundthat two radial brick wall cut-off parameters are required to regularize thesolution. Free energy of the scalar field is obtained through counting ofstates using the WKB approximation. It is found that the free energy and theentropy are divergent in both the cut-off parameters.