The Bianchi type V cosmological model for Bulk viscous barotropic fluid with variable gravitational constant [G(t)], and the variable cosmological constant [ Λ(t) ], in presence of magnetic field is investigated. To get a determinate model, we impose a physically viable conditions between metric potentials. We have also used,p=γρ,and η=η_0 ρ^s, where ρ is energy density, η is shear viscosity, and P=p-3ηH with 0≤γ≤1. H is the well known Hubble parameter. Some physical and kinematical characteristics of the model are also discussed in presence and absence of the magnetic field. We obtained σ/θ≠0, hence anisotropy is maintained throughout. The considered model represents inflationary scenario

Bianchi Type V models, Barotropic fluid, Varying G and Λ, Magnetic field

In this paper we have presented Bianchi Type V barotropic fluid with magnetic field in general relativity. The model (3.9) starts with a big bang at T=0 and the expression in the model decreases as the time increases. The spatial volume (V) increases as time (T) increases, when n≠-1 or α≠1. The matter density ρ→∞ when T→0, and ρ→0 when T→∞ provided γ>-1 and n>-1. The model (3.9) has point type singularity at T=0 . Shear scalar (σ) increases as n>ρ, α<1. Time (t) decreases and σ increases as T increases. Since σ/θ≠0, hence anisotropy is maintained throughout. However at n=1, the model (3.9) isotropizes. Hence the model (3.9) represents inflationary scenario. We have observed that in presence of magnetic field, pressure p, energy density ρ and cosmological constant Λ varies from negative to zero at late times. The gravitational constant G varies from zero to negative infinity when cosmic time tends to infinity

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