Stiff magnetic field lines. I. A geometrical foundation

Details Stiff magnetic field lines. I. A geometrical foundation Stiff magnetic field lines. I. A geometrical foundation

Mar 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981gregr..13..217p&link_type=abstract

General Relativity and Gravitation, Volume 13, Issue 3, pp.217-226

Physics

1

Scientific paper

It is shown that the foliation of a space-time manifold of codimension 2 provides a basis for the study of the deformation of magnetic field lines. It is found that the fluid flow vector and the curvature vector of a nongeodesic “stiff” magnetic field line are always orthogonal. Further, it is shown that the metric tensor of the 2-space orthogonal to the “Maxwellian string” is Lie-transported along the magnetic field lines when the magnetic field lines are “stiff.” If there exists a spacelike Killing vector field parallel to the magnetic field, then the magnetic field lines must be “stiff.”

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