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Bimetric theory; magnetic field; massive string; cosmology.

Bianchi type-I massive string cosmological model for perfect fluid distribution in the presence of magnetic field is investigated in Rosen’s [Gen. Relativ. Gravit. 4, 435 (1973)] bimetric theory of gravitation. To obtain the deterministic model in terms of cosmic time, we have used the condition $A = (B C)^n$, where n is a constant, between the metric potentials. The magnetic field is due to the electric current produced along the 𝑥-axis with infinite electrical conductivity. Some physical and geometrical properties of the exhibited model are discussed and studied.

S D Katore¹ R S Rane² K S Wankhade²

1. Department of Mathematics, S.G.B. Amravati University, Amravati 444 602, India
2. Department of Mathematics, Y.C. Science and Arts College, Mangrulpir 444 403, India

Published

April 2011

Manuscript received

7 July 2010

Accepted

3 December 2010