Plane Symmetric Inhomogeneous Cosmological Model with Electromagnetic Field in Lyra’s Geometry

Abstract

In the present paper, plane symmetric inhomogeneous cosmological model with electromagnetic field is obtained in the context of Lyra’s Geometry. The metric potentials are functions of x and t both. We have assumed that F₁₂ is the only non-vanishing component of electromagnetic field tensor F_ij. 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 . It is observed that the model has a barrel type singularity. Some   physical and geometrical properties of the model are also discussed in the presence of electromagnetic field.