CYLINDRICALLY SYMMETRIC INHOMOGENEOUS UNIVERSE WITH ELECTROMAGNETIC FIELD IN STRING COSMOLOGY

Cylindrically symmetric inhomogeneous string cosmological model in presence of electromagnetic field is investigated. We have assumed that F12 is the only non-vanishing component of Fij. The Maxwell’s equations show that F12 is the function of x alone whereas the magnetic permeability is the function 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 1 1σ of the shear tensor.i jσ The physical and geometric aspects of the model are also discussed. Key words: cosmic string, electromagnetic field, inhomogeneous universe. PACS number: 98.80.Cq, 04.20.-q 1