On Stefan-Boltzmann law and the Casimir effect at finite temperature in the Schwarzschild spacetime

Abstract

This paper deals with quantum field theory in curved space-time using the Thermo Field Dynamics. The scalar field is coupled to the Schwarzschild space time and then thermalised. The Stefan-Boltzmann law is established at finite temperature and the entropy of the field is calculated. Then the Casimir energy and pressure are obtained at zero and finite temperature.

13 pages, accepted for publication in IJMPA

References in corpus (2)

• Quantum fields in toroidal topology
• Report of the Detailed Calculation of the Effective Potential in Spacetimes with $S^1\times R^d$ Topology and at Finite Temperature