Rotational perturbations of radiating Universes coupled with zero-mass scalar field

Investigations are made on slowly rotating radiating Universes coupled with a scalar field in the spherically symmetric Einstein formalism, and some new interesting solutions are obtained. Their physical and geometrical properties are studied from various angles. The rotational perturbations of such models are examined in order to substantiate the possibility that the universe is endowed with some rotation. The nature and role of the metric rotation as well as that of the rotation of matter are studied, and the effects of radiation and scalar fields on them are discussed. The models here turn out to be rotating as well as expanding ones, which may be taken as good examples of real astrophysical objects in this universe. The periods of the physical validity and the restrictions on the radii of the models for real astrophysical situations are obtained and discussed. The models obtained here are theoretically satisfactory and therefore there is a possibility that there may be less known objects in this universe which may be represented by our model Universes obtained here and many unknown properties of this universe may be explored and unfolded in the study of these models.