Bianchi type-III bulk viscous dust filled universe in Lyra geometry

Abstract

Bianchi Type III bulk viscous dust filled cosmological models in Lyra geometry are investigated. To get the deterministic model of the universe, we have assumed two conditions: (i) ζ θ = constant; and (ii) shear (σ ) is proportional to the expansion (θ ). This condition leads to B = C n where ζ the coefficient of bulk viscosity, θ the expansion in the model; B and C are metric potentials and n a constant. The physical and geometrical aspects of the model and singularities in the model are also discussed.

A New Class of Bianchi Type-I Cosmological Models in Lyra Geometry

“…Considering same form of the displacement vector field β = β 0 t −n as in previous section, we get the same value of V as in (21), using the value of V in terms of cosmic time, we can easily obtained the relations between scale factors and cosmic time t , as shown in (22)- (24). Now, with the help of (22)-(24), (49) and (50), (43), (44) suggest Truncated causal theory (ε = 0) ξ = a 0 t 4n−4 +a 1 t 2n−2 +a 2 t 2n−1 (a 3 t 2n−2 +a 4 )…”

“…Rahaman et al [18,19] have studied inhomogeneous spherically symmetric higher dimensional model in presence of a mass less scalar field and cosmological models with negative constant deceleration parameter in Lyra's geometry. Bali and Chandnani [20,21] discussed Bianchi Type I cosmological model for perfect fluid distribution and Bianchi type-III bulk viscous dust filled cosmological model in Lyra geometry. Singh [22] has discussed Bianchi type-V anisotropic cosmological model in the presence and absence of a magnetic field within the framework of Lyra geometry.…”

Anisotropic Bianchi Type-III Bulk Viscous Fluid Universe in Lyra Geometry

“…Bali and Chandnani [25] have investigated a Bianchi type-III bulk viscous dust filled universe in Lyra geometry under certain physical assumptions. Recently, V. K. Yadav and L. Yadav [26] have presented Bianchi type-III bulk viscous and barotropic perfect fluid cosmological models in Lyra's geometry with the assumption that the coefficient of viscosity of dissipative fluid is a power function of the energy density.…”

Bianchi Type-III Bulk Viscous and Barotropic Perfect Fluid Cosmological Models in Lyra’s Geometry

“…Recently, Bali et al [38] have described Bianchi type-III cosmological models for barotropic perfect fluid distribution with variable G and in general relativity. Bali and Chandnani [39] have investigated Bianchi type-III bulk viscous dust filled universe in Lyra geometry.…”