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We have studied the inhomogeneous cosmology in Kaluza-Klein spacetime withpositive cosmological constant. Depending on the integration constant we havederived two types of solutions. The dimensional reduction is possible of extradimensional scale factor depending on the curvature of the metric for positivecosmological constant for all solutions. The high value of entropy in presentobservable universe and the possible matter leakage in $4D$ world due toreduction of extra dimension are also discussed. Our solutions show that earlydeceleration and late accelerating nature of the universe. Findings areverified by the wellknown Raychaudhuri equation.

Studies of the Inhomogeneous Cosmology in Higher Dimensional space-time with a Cosmological Constant