Bianchi Type V Cosmological Models with Varying Cosmological Term

Abstract

We have analyzed a new class of spatially homogeneous and anisotropic Bianchi type-V cosmological models with perfect fluid distribution in presence of time varying cosmological and gravitational constants in the framework of general relativity. Exact solutions of Einstein’s field equations are obtained for two types of cosmologies viz. m ≠ 3 and m = 3 respectively. We propose an alternate variation law in which the anisotropy (σ/𝜃) per unit expansion scalar (𝜃) is proportional to a function of scale factor R i.e. $\frac {({\sigma }/{\theta })}{\theta }\propto f(R)$ (where σ is a shear scalar) Tiwari (The African Review of Physics, 8, 437–447 2013). Physical properties of the models are discussed in detail. The models isotropize at late times. Some cosmological distance parameters for both the models have also been presented. We also discussed state finder parameters and observe that our solutions favor Λ C D M model.