Homogeneous and Anisotropic Bianchi Type-I Cosmological Model

Abstract

In the background of spatially homogeneous and totally anisotropic Bianchi type-I  space-time, we have considered  some exact solutions of Einstein field equations. To obtain the deterministic solution of the field equation, we have considered the deceleration parameter   is to be a simple linear function of Hubbles parameter    i.e.    ( where  is constant), which gives scale factor   as   (where  is constant ). Some physical properties of the model are also discussed. We have found that the model approaches isotropy at late times. State-finder parameters are also discussed and it is observed that our solutions favor    model.