Finite temperature applications in G\"odel space-time

TL;DR

This paper explores how temperature influences scalar fields in G"odel space-time using Thermo Field Dynamics, revealing effects like Stefan-Boltzmann and Casimir phenomena with implications for early universe physics.

Contribution

It applies Thermo Field Dynamics to analyze temperature effects on scalar fields in G"odel space-time, a novel approach in this context.

Findings

Calculation of Stefan-Boltzmann law in G"odel space-time

Evaluation of Casimir effect under these conditions

Discussion of implications for early universe cosmology

Abstract

Temperature effects in a scalar field non-minimally coupled to gravity are investigated. The Thermo Field Dynamics formalism is used. This is a topological field theory that allows us to calculate different effects, such as the Stefan-Boltzmann law and the Casimir effect, on an equal footing. These phenomena are calculated assuming the G\"odel space-time as a gravitational background. A possible implication of these results at the beginning of the universe is discussed.