Abstract:
In this paper, we have obtained two five dimensional exact solutions of Bianchi type-I space-time in theory of gravity using assumption of constant deceleration parameter and variation law of Hubble parameter which correspond to two different cosmological models. The first solution yields a singular model for while the second gives a non-singular model for The physical behavior for both the models have been discussed using some physical quantities..

Keywords: Theory of gravity, five dimensional Bianchi type-I space-time, Vacuum field equations.