Casimir force in the G\"odel space-time and its possible induced cosmological inhomogeneity

TL;DR

This paper calculates the Casimir force in G"odel space-time at finite temperature, revealing conditions under which it becomes repulsive, and explores how this force could induce cosmological inhomogeneities during a G"odel phase.

Contribution

It introduces the calculation of Casimir force in G"odel space-time and analyzes its potential role in generating cosmological inhomogeneities.

Findings

Casimir force becomes repulsive at specific separations

Force approaches zero at large distances

Potential to induce inhomogeneities in the universe

Abstract

The Casimir force between two parallel plates in the G\"odel universe is computed for a scalar field at finite temperature. It is observed that when the plates separation is comparable with the scale given by the rotation of the space-time, the force becomes repulsive and then approaches zero. Since it has been shown previously that the universe may experience a Godel phase for a small period of time, the induced inhomogeneities from the Casimir force are also studied.