L.R.S. Bianchi Type I string dust magnetized cosmological models

L. R. S. Bianchi Type I string dust cosmological models with and without magnetic field following the techniques used by Letelier and Stachel, is investigated. To get a determinate solution, we assume a condition sigma is proportional to scalar of expansion theta where sigma is shear and theta is scalar of expansion and which leads to A = lB(n) where n is a constant and l is proportionality constant. Some special models are also investigated by introducing the transformation, A(4)/A = w, which leads to Riccati type differential equation. The physical and geometrical aspects of the models are also discussed.