Mathematical Properties of Non Static and Non Empty Cosmological Models

Abstract

In the present paper we have discussed the Mathematical Properties of non static and non empty cosmological models with variable Cosmological constant (Λ) & variable Gravitational constant (G) under some suitable assumptions. It may be concluded that the Cosmological constant (Λ) may be replaced by a non-linear scalar field. It has been also focused that there is close relation between model with scalar field & model with perfect fluids whose equation of state is more or less exotic.