Axially Symmetric Bianchi Type I Perfect Fluid Cosmological Model in Modified Theory of Gravity

Abstract

With an appropriate choice of the function , an anisotropic Axially Symmetric Bianchi type  space – time filled with perfect fluid in general relativity and also in the framework of gravity proposed by Harko et. al. (in arXiv: 1104. 2669 [gr-qc],2011) has been studied. The field equations have been solved by using the anisotropy features of the universe in Axially Symmetric Bianchi type-  Space – time. We have been discussed some physical properties of the models. We observed that the involvement of new function does not affect the geometry of the space-time but slightly changes the matter distribution.