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In this paper we derive some new invariant solutions of Einstein-Maxwell'sfield equations for string fluid as source of matter in cylindrically symmetricspace-time with Variable Magnetic Permeability. We also discuss the physicaland eometrical properties of the models derived in the paper. The solutions, atleast one of them, are interesting physically as they can explain theaccelerating as well as singularity free Universe.

Some Invariant String Cosmological Models in Cylindrically Symmetric Space-time