Entropy of Scalar Field in 3+1 Dimensional Reissner-Nordstrom de Sitter Black Hole Background
نویسنده
چکیده
We consider the thermodynamics of minimally coupled massive scalar field in 3+1 dimensional Reissner-Nordstrom de Sitter 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. E-address: [email protected] 1
منابع مشابه
Logarithmic correction to the Cardy-Verlinde formula in Topological Reissner-Nordström de Sitter Space
In this paper we compute leading order correction due to small statistical fluctuations around equilibrium, to the Cardy-Verlinde entropy formula (which is supposed to be an entropy formula of conformal field theory in any dimension) of a Topological Reissner-Nordstrom black hole in de Sitter space. ∗E-mail: [email protected]
متن کاملar X iv : g r - qc / 0 21 01 05 v 2 3 1 O ct 2 00 2 Massive charged scalar field in a Reissner - Nordstrom black hole background : quasinormal ringing
We compute characteristic (quasinormal) frequencies corresponding to decay of a massive charged scalar field in a Reissner-Nordstrom black hole background. It proves that, contrary to the behavior at very late times, at the stage of quasinormal ringing the neutral perturbations will damp slower than the charged ones. In the limit of the extremal black hole the damping rate of charged and neutra...
متن کاملMassive charged scalar field in a Reissner - Nordstrom black hole background : quasinormal ringing
We compute characteristic (quasinormal) frequencies corresponding to decay of a massive charged scalar field in a Reissner-Nordstrom black hole background. It proves that, contrary to the behavior at very late times, at the stage of quasinormal ringing the neutral perturbations will damp slower than the charged ones. In the limit of the extremal black hole the damping rate of charged and neutra...
متن کاملEntropy of 2+1 dimensional de Sitter space in terms of brick wall method
We calculate the statistical entropy of a scalar field on the background of three-dimensional De Sitter space in terms of the brick wall method and finally derive the perimeter law of the entropy. ∗Electronic address: [email protected] 1 Entropy of black holes has an universal area law [1] and the entropy of the well-known Schwarzschild black hole satisfies the area law by means of thermal...
متن کاملPhase transitions near black hole horizons
The Reissner-Nordstrom black hole in four dimensions can be made unstable without violating the dominant energy condition by introducing a real massive scalar with nonrenormalizable interactions with the gauge field. New stable black hole solutions then exist with greater entropy for fixed mass and charge than the Reissner-Nordstrom solution. In these new solutions, the scalar condenses to a no...
متن کامل