Abstract

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 conditionσ is proportional to scalar of expansion θ where σ is shear and θ is scalar of expansion and which leads to A=l B nwhere n is a constant and l is proportionality constant. Some special models are also investigated by introducing the transformation,\(\tfrac{{A_4 }}{A} = w\), which leads to Riccati type differential equation. The physical and geometrical aspects of the models are also discussed.

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