Bianchi type-I cosmological model for perfect fluid distribution in Lyra geometry

Abstract

In this paper, we have investigated Bianchi type-I cosmological model with time dependent gauge function β for perfect fluid distribution within the framework of Lyra geometry. To get the deterministic model of the universe, we have assumed that eigenvalue (σ11) of shear tensor (σij) is proportional to the expansion (θ). This leads to A=(BC)n, where A,B,C are metric potentials. The physical and geometrical aspects of the model and singularities in the model are also discussed.