A STUDY OF FERROFLUID SPACE - TIME ADMITTING CONFORMAL MOTIONS

Abstract

The space time comprising of relativistic charged perfect fluid with infinite electric conductivity and variable magnetic permeability (Ferrofluid) is analyzed in context of geometrical symmetry known as conformal motion. It is proved that the magnitude of the magnetic fields in ferrofluid space-time is conserved along the expansion-free flow lines if and if only if the magnetic permeability is constant along the flow. Moreover, for isotropic pressure, the conservation of matter density and the magnetic permeability follow simultaneously along the expansion free flow lines. Also the necessary and sufficient conditions for the magnetic lines to be divergence free are obtained. Further for the ferrofluid system admitting a group of conformal motion, the necessary and sufficient conditions for special conformal motion are derived.