STRING COSMOLOGICAL MODEL IN CYLINDRICALLY SYMMETRIC INHOMOGENEOUS UNIVERSE WITH ELECTROMAGNETIC FIELD

Cylindrically symmetric inhomogeneous string cosmological model of the universe in presence of electromagnetic field is investigated. We have assumed that F(12) is the only nonvanishing component of electromagnetic field tensor F(ij). The Maxwell's equations show that F(12) 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 (empty set) in the model is proportional to the eigen value sigma(1)(1) of the shear tensor sigma(i)(j). Some physical and geometric properties of the model are also discussed.