String Cosmological Models in Cylindrically Symmetric Inhomogeneous Universe with Electromagnetic Field

Abstract

Cylindrically symmetric inhomogeneous string cosmological models in the presence of electromagnetic field are investigated. We have assumed that F₁₂ is the only non-vanishing component of F_ij. The Maxwell’s equations require that F₁₂ is the function of x and t both and the magnetic permeability is the function of x and t both. To get the deterministic solution, it has been assumed that the expansion (q) in the model is proportional to the eigen value  of the shear tensor . The derived model represents the inflationary scenario as the proper volume increases exponentially with cosmic time. It is observed that the model has a point type singularity. The physical and geometric aspects of the model are also discussed.