On a Godel-type Nonstatic Cosmological Solution for Matter in an Electromagnetic Field

Abstract

Some solutions of the Einstein-Maxwell equations for gravitational and electromagnetic fields against the background of a rotating and either a stationary or an expanding cosmological model have been obtained. The details of one of these solutions have been given. The solution describes a cosmological model with rotation and shear. The model is initially stationary and then expanding. It is filled with anisotropic fluid and is pervaded by the electromagnetic field, the net charge density being zero.