Abstract. Presenting some new interesting Friedmann cosmological solutions of the Einstein field equations incorporated the dynamics, behaviour and phenomena of rotating viscous fluid models are investigated and their physical and geometrical properties are studied in order to substantiate the possibility of the existence of such astrophysical bodies in this universe. The nature and role of the metric rotation Ω(r,t) as well as that of matter rotation ω(r,t) are studied for uniform and non-uniform motion. The field equations impose restrictions on the matter rotation ω(r,t) and some of the solutions for Ω(r,t), which is related to the local dragging of inertial frames, are expressed in terms of hypergeometric functions. It is found that the rotational perturbation declines for expanding models where R(t) is an increasing function of time and the cosmic time is increasing as well due to the involvement of bulk viscosity. Also it is found that the metric rotation function Ω(r,t) becomes very large for small values of ``r'' at which it must occur higher order term in the perturbed metric.

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