Cylindrically Symmetric Inhomogeneous String Cosmological Models of Perfect Fluid Distribution with Electromagnetic Field

Two new cylindrically symmetric inhomogeneous string cosmological models are investigated in presence of magnetic field. We have assumed that F12 is the only non-vanishing component of electromagnetic field tensor Fij . The Maxwell’s equations show that F12 is the function of x alone whereas the magnetic permeability μ̄ is the function of x and t both. To get the deterministic solution, it has been assumed that the metric coefficients are separable in the form as A = f(x) (t), B = g(x)k(t), C = g(x)ν(t). Also, the Einstein field equations have been solved with string source in which magnetic field is absent. Some physical and geometric aspects of the models in presence and absence of magnetic field are discussed. c © Electronic Journal of Theoretical Physics. All rights reserved.