Cosmological Model of Bianchi Type-V in Perfect Fluid and Lyra Geometry with Self-Creation Theory of Gravitation

Abstract

Bianchi Type V cosmological model in barotropic perfect fluid with Lyra geometry within the framework of self-creation theory of gravitation is investigated. To get the deterministic solution of the model, we have made assumption that universe is filled with barotropic fluid distribution which leads to p = γρ, 0 ≤ γ ≤ 1, p being the isotropic pressure and ρ be the energy density of the universe. The physical and geometrical properties of the model and singularities in the model are also discussed.