Slowly-rotating charged viscous-fluid universes: Exact solutions

By considering a spherically-symmetric metric, certain new analytic solutions for charged rotating viscous-fluid cosmological models in the Einstein universe are found out. Five different cases in which the nature and role of the rotational velocity (r, t) is related to the local dragging of inertial frames and that of matter rotation (r, t), are investigated. Except for the case of perfect dragging, the electric field is found to have a damping effect on the rotation of matter. The damping effect is seen to be roughly analogous to the viscosity. In some solutions we find out the temporal restrictions for realistic astrophysical situations. Models which are rotating as well as expanding are also obtained and studied.