Abstract
Inhomogeneous cylindrically Bianchi type I space metric with flat potential is investigated in this paper. To finding inflationary solution assume the flat region where potential V (ψ) is constant and condition Y=X2 where X = α(x)β(t) and Z = λ(x)μ(t) on metric scalar. We observed the proper volume increases with time which indicates the eternal inflation of the present universe. Expanding, the non-rotating and shearing universe is investigated by the developed model. The negative deceleration parameter provides the accelerating phase of the universe. Some other physical and structural features of the model are also discussed
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