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

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.