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Bianchi V; magnetized; string dust; Petrov D.

Bianchi Type V massive string cosmological models with free gravitational field of Petrov Type degenerate in the presence of magnetic field with variable magnetic permeability are investigated. The magnetic field is due to an electric current produced along the 𝑥-axis. The $F_{23}$ is the only non-vanishing component of electromagnetic field tensor $F_{ij}$. Maxwell's equations $F_{[ij;k]} = 0$ and $F_{ij}^{ij} = 0$ are satisfied by $F_{23}$ = constant. The behaviour of the model in the presence and absence of magnetic field and other physical aspects are also discussed.

Raj Bali¹ Umesh K Pareek¹

1. Department of Mathematics, University of Rajasthan, Jaipur 302 004, India

Published

May 2009

Manuscript received

18 February 2008

Manuscript revised

4 July 2008

Accepted

28 January 2009