Thermal Casimir effect in Godel-type universes

In this paper, a massless scalar field coupled to gravity is considered. Then the Casimir effect at finite temperature is calculated. Such development is carried out in the Thermo Field Dynamics formalism. This approach presents a topological structure that allows for investigating the effects of temperature and the size effect in a similar way. These effects are calculated considering Godel-type solutions as a gravitational background. The Stefan-Boltzmann law and its consistency are analyzed for both causal and non-causal Godel-type regions. In this space-time and for any region, the Casimir effect at zero temperature is always attractive. However, at finite temperature, a repulsive Casimir effect can emerge from a critical temperature.(c) 2022 The Author(s). Published by Elsevier B.V.

Automated summary

This paper examines a massless scalar field coupled to gravity and calculates the Casimir effect at finite temperature. The investigation is conducted using the Thermo Field Dynamics formalism and considers Godel-type solutions as a gravitational background. The consistency of the Stefan-Boltzmann law is analyzed for both causal and non-causal Godel-type regions. It is found that the Casimir effect is always attractive at zero temperature in this space-time, but a repulsive Casimir effect can emerge from a critical temperature at finite temperature.