Accelerating Bianchi type-VI0 bulk viscous cosmological models in Lyra geometry

Abstract

The present study deals with spatially homogeneous and totally anisotropic Bianchi type-VI 0 bulk viscous cosmological models in Lyra geometry. The Einstein's field equations have been solved exactly by taking the shear (r) in the model proportional to expansion scalar ðhÞ which leads to A = B n , where A and B are metric functions and n is a positive constant (n [ 1). We also adopt a condition fh ¼ L (constant) where f is the coefficient of bulk viscosity. It has been found that the displacement vector (b) is a decreasing function of time and it approaches to a small positive value at late time which is supported by recent observations. It is also found that the distance modulus curve of derived model matches with observations perfectly.

Bianchi Type-<i>VI</i>₀ Cosmological Model with Special Form of Scale Factor in Sen-Dunn Theory of Gravitation

“…From the above three independent equations (17)- (19) five unknowns parameters can be seen. For a better and deterministic solution two more condition is essential.…”

“…/ (36) From eqs. (19), (27), (28), and (33) the energy density, the EoS parameter and the skewness parameter are obtained as…”

“…Bali et al [16,17], Bali and Pradhan [18] studied the Bianchi type VI 0 cosmological model relative to string theory. Many authors have mainly studied the aspects of dark energy cosmological models relative to the universe [19,20]. Mishra and Sahoo [21] investigated Bianchi type with the presence of wet, dark energy fluid cosmological model in scale-invariant theory.…”

Thermodynamic Functions of the Universe in the Presence of Viscosity in the Relativity Theory and Lyra Geometry

“…Accelerating Bianchi type 𝑉𝐼 0 model with bulk viscosity was studied by Asgar and Ansari [30], Kandalkar and Samdurkar [31] investigated LRS Bianchi type 𝐼 in the presence of the viscosity and Five-dimensional homogeneous cosmological models with variable bulk viscosity and 𝐺 were studied by Singh et al [32]. Singh and Kale [33] dealt with anisotropic bulk viscous models with variables 𝐺 and 𝛬.…”

Five Dimensional String Universes in Lyra Manifold

“…But with this condition it is found as one of conveniences and there is no priori reason for it. Recently, several authors like [19]- [24] have studied cosmological models in the frame work of Lyra's geometry in various contexts.…”