Some invariant string cosmological models in cylindrically symmetric space-time

Abstract

In this paper, we derive some new invariant solutions of Einstein-Maxwells field equations for string fluid as source of matter in cylindrically symmetric space-time with variable magnetic permeability. We also discuss the physical and geometrical properties of the models derived in the paper. The solutions, at least one of them, are interesting physically as they can explain the accelerating as well as singularity-free Universe.