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.
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