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Some magnetized bulk viscous string cosmological models in?General Relativity
Authors:Mahesh Kumar Yadav  Anirudh Pradhan and Sheel Kumar Singh
Institution:(1) Department of Mathematics, Sobhasaria Engineering College, NH-11, Sikar, 332 001, India;(2) Department of Mathematics, Hindu Post-graduate College, Zamania, 232 331, Ghazipur, India;(3) Department of Mathematics, Post-graduate College, Ghazipur, 233 001, India
Abstract:Some Bianchi type-I viscous fluid string cosmological models with magnetic field are investigated. The viscosity coefficient of bulk viscous fluid is assumed to be a power function of mass density ξ(t)=ξ 0 ρ m , where ξ 0 and m are constants. To get a determinate model, we assume conditions ρ=(1+ω)λ, where ρ is rest energy density, ω a positive constant and λ the string tension density and expansion θ is proportional to eigen value σ 11 of the shear tensor σ j i . The behaviour of the models from physical and geometrical aspects in presence and absence of magnetic field is discussed.
Keywords:Cosmic string  Viscous models  Magnetic field
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