Bianchi Type-I Inhomogeneous String Cosmological Model with Electromagnetic Field in General Relativity

Abstract

In this paper, we have investigated an inhomogeneous string cosmological model in the presence of electromagnetic field. We have assumed that F₁₂ is the only non-vanishing component of electromagnetic field tensor F_ij . The metric potentials are functions of x and t both . To get the deterministic solution, it has been assumed that the expansion (θ) in the model is proportional to the eigen value σ¹₁ of the shear tensor  σ ⁱ _j . The derived model represents the inflationary scenario as the proper volume increases exponentially with cosmic time. It is observed that the model has a Barrel type singularity. The behaviour of the electromagnetic field tensor together with physical and geometrical aspects of the model are also discussed.