In the present paper, we considered Bianchi type-II space-time in the presence of a macroscopic body in the self-creation theory formulated by Barber. The relation between metric coefficient and state equation has helped present the exact cosmological model in theory. The features, stability, and some physical & kinematical properties of the obtained model are also discussed.

A solution of field equations has been obtained for a Bianchi Type V I0 space-time with cosmic string in Lyra’s Manifold by using relation between metric coefficients and Reddy string. Also some physical and kinematic properties of the model have been examined.