2007/05/07 by Anirudh Pradhan, Pradhan, Anirudh, Anju Rai +3 · 4 citations
Earth and Planetary Sciences · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Gravity Measurements #gr-qc
paper · pdf · doi:10.48550/arxiv.0705.0904
9 pages with minute mathematical correction
openalex publication_date 2007/05/07 · arxiv created 2014/05/04 · arxiv updated 2014/05/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Cylindrically symmetric inhomogeneous string cosmological models in presence of electromagnetic field is investigated. We have assumed that F12 is the only non-vanishing component of Fij. The Maxwell's equations require that F12 is the function of x and t both and the magnetic permeability is the function of x and t both. To get the deterministic solution, it has been assumed that the expansion (θ) in the model is proportional to the eigen value σ11 of the shear tensor σij. The derived model represents the inflationary scenario as the proper volume increases exponentially with cosmic time. It is observed that the model has a point type singularity. The physical and geometric aspects of the model are also discussed.