Physical Science International Journal

Bianchi Type-III Magnetized Perfect Fluid Cosmological Model with Time-Varying

M. K. Singh and Shri Ram *

Department of Mathematical Sciences, Indian Institute of Technology, (Banaras Hindu University), Varanasi 221 005, India

*Author to whom correspondence should be addressed.

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Abstract

Bianchi type-III model of universe filled with a magnetized perfect fluid together with a time-varying cosmological constant is investigated in general relativity. We assume that F₁₂ is the only non-vanishing component of the electromagnetic tensor F_ij . We obtain exact solutions to Einstein’s field equations by using an ad-hoc mathematical relation. The physical and geometrical behaviors of the cosmological model are discussed.

Keywords: Bianchi type-III, Perfect fluid, Magnetic field, Cosmological term

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