Higher dimensional cosmological model of the Universe with variable equation of state parameter in the presence of G and Λ

In this paper we have obtained the exact solution of the Einstein field equations by using global equation of state of the form p = 1/3·(ρ·Φ) , where Φ is a function of the scale factor R for Zeldovich fluid satisfying G = G0·(R/R0 )''m. We also studied the two variable Λ model, viz. Λ∼(∂R/R)''2 and Λ∼ρ under the assumption that the equation of state parameter ω is time-dependent i.e. ω ω(t) in the framework of Kaluza-Klein theory of gravitation.(authors)