On the geometry of relativistic magnetofluid flows

Statistics – Applications

Scientific paper

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Flow Geometry, Magnetic Field Configurations, Magnetohydrodynamic Flow, Relativistic Theory, Congruences, Cosmology, Gravitational Collapse, Lines Of Force, Neutron Stars, Pulsars, Relativistic Plasmas, Stellar Rotation, Vorticity

Scientific paper

This paper deals with the construction of the 'magnetic vorticity' vector using Greenberg's (1970) theory of spacelike congruences for the trajectories of magnetic fields. A set of propagation equations is derived for the geometrical invariants associated with the congruences of magnetic field lines and fluid flow lines. Some applications of these propagation equations are made. A generalization of Ferraro's law of isorotation is obtained employing the propagation equation for omega-squared along the magnetic field lines.

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