Bianchi Type-III Radiating Cosmological Model in Lyra Geometry and Self-Creation Theory of Gravitation

Abstract

Bianchi type-III radiating cosmological model in Lyra geometry within the framework of self-creation theory of gravitation is investigated. To get the deterministic model of the universe, we have assumed two conditions (i) shear (σ) is proportional to the expansion (θ). This leads to B=Cⁿ where B and C are metric potentials and n is constant (ii) universe is filled with radiating fluid which leads to the condition ρ=3p, p being the isotropic pressure and ρ is the energy density. The physical and geometrical aspects of the model and singularities in the model are also discussed.