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

Abstract

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 σ 1 1 is proportional to the expansion (θ) where σ 1 1 is the eigen value of shear tensor (σ ) and which leads to A=N(BC)−n , n>0 where A,B,C are metric potentials and $n=\frac{\ell +1/3}{\ell -2/3}$ , 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.