Bianchi Type I string dust cosmological model with magnetic field in general relativity

Bianchi Type I string dust cosmological models in presence and absence of magnetic field following the techniques used by Letelier and Stachel, are investigated. To get the deterministic solution, we have assumed that sigma(1)(1) is proportional to the expansion (theta) where sigma(1)(1) is the eigen value of shear tensor (sigma(j)(i)) and which leads to A = N(BC)(-n), n > 0 where A, B, C are metric potentials and n = l+1/3/l-2/3, N and l are constants. The behaviour of the models in presence and absence of magnetic field are discussed. The other physical and geometrical aspects of the model are also discussed.