  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.
