Physics
Scientific paper
Jun 1974
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974ram..congr....l&link_type=abstract
Jugoslovensko Drustvo za Mehaniku, Yugoslav Congress of Rational and Applied Mechanics, 12th, Ohrid, Yugoslavia, June 3-8, 1974,
Physics
Field Theory (Physics), Magnetohydrodynamics, Relativity, Vector Analysis, Incompressible Fluids, Magnetic Fields, Orthogonality, Rigid Structures, Space-Time Functions, Tensor Analysis
Scientific paper
Consideration of vector fields which are steady in a relativistic sense, that is, which do not depend on a time-like parameter, such that for every point in space-time, there exists a frame for which the corresponding vector of the field is steady with respect to proper time. Such a frame is sought for among those which see this vector in its 'original' length, that is, which perform a motion locally orthogonal to it. It is found that these frames have either Born's rigidity in the direction parallel to the vector considered or move geodesically. The steadiness of some physical variables with respect to their proper time is studied for the case of a MHD continuum. It is found that the deformation tensor is two-dimensional and lies in the plane locally orthogonal to the magnetic field when the fluid is incompressible and the magnetic field has steady contravariant components.
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