Bianchi Type V magnetized string dust cosmological models with Petrov-type degenerate

Abstract

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 F23 is the only non-vanishing component of electromagnetic field tensor Fij. Maxwell's equations F(ij;k) = 0 and F ij ;j = 0 are satisfied by F23 = constant. The behaviour of the model in the presence and absence of magnetic field and other physical aspects are also discussed. The anisotropic and homogeneous cosmological models contribute significantly to the description of the Universe such as formation of galaxies during its early stages of evolution. Even though the present magnetic energy is very small in comparison with the estimated matter density, it might not have been negligible during the early stages of the Universe. It is therefore of considerable interest to construct cosmo- logical models with magnetic field to represent the early Universe. The breakdown of isotropy is also due to the magnetic field. A detailed discussion of the primor- dial magnetic field in the case of Bianchi Type I space-time has been given by Thorne (1). Jacobs (2,3) investigated Bianchi Type I cosmological model satisfying barotropic equation of state in the presence of magnetic field. Collins (4) gave a qualitative analysis of Bianchi Type I models in the presence of magnetic field. Roy and Prakash (5) have investigated a plane symmetric cosmological model with an incident magnetic field for perfect fluid distribution. Homogeneous cosmological models representing matter and electromagnetic field have been discussed by Vaijk and Eltgroth (6), Damiao Soares and Assad (7), Dunn and Tupper (8), Lorentz