The field equations for perfect fluid coupled with massless scalar field are solved with two conditions p = ρ and R = AS n for Kantowski-Sachs space time in general theory of relativity. Various physical and geometrical properties of the model have also been discussed.

We investigate the spatially homogeneous Bianchi Type-III space time with electromagnetic field tensor and relativistic charged perfect fluid in Brans-Dicke (B-D) theory of gravity. Solutions have been obtained by using a general approach of solving the partial differential equations. It is observed that the convergent and isotropic solution of the metric function can be derived with the components of the vector potentials.

Axially symmetric Bianchi type-I space time is considered in the presence of massless scalar field and cosmic strings in Barber's (Gen. Relativ. Gravit. 14:117, 1982) self-creation theory with two conditions (i) A = B n and (ii) ε + λ = 0. Some physical and kinematical properties of the model, thus obtained, are also discussed.

Field equations in the presence of wet dark fluid distribution are obtained in general relativity with the aid of Einstein-Rosen cylindrically symmetric metric. A static vacuum model and non-static stiff fluid model are investigated. The physical and geometrical properties of the stiff fluid model are also studied.

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