String Cosmological Model in Cylindrically Symmetric Inhomogeneous Universe with Electromagnetic Field II

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Pradhan, Anirudh
Singh, S. K.
Yadav, L. J. S.
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Abstract
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Cylindrically symmetric inhomogeneous string cosmological model of the universe in presence of electromagnetic field is investigated. We have assumed that F_{12} is the only non-vanishing component of electromagnetic field tensor F_{ij}. The Maxwell's equations show that F_{12} is the function of $x$ alone whereas the magnetic permeability is the function of x and t both. To get the deterministic solution, it has been assumed that the expansion ($\theta$) in the model is proportional to the eigen value $\sigma^{1}_{1}$ of the shear tensor $\sigma^{i}_{j}$. Some physical and geometric prperties of the model are also discussed.
Comment: 12 pages, no figure. Submitted to Rom. Rep. Phys. arXiv admin note: substantial text overlap with arXiv:0705.0904
Keywords
General Relativity and Quantum Cosmology
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