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

Mathematics – Logic

Scientific paper

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Bianchi I, String Dust, Magnetized, Cosmological

Scientific paper

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 {/i j }) and which leads to A= N( BC)- n , n>0 where A, B, C are metric potentials and n=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.

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