Abstract
The theory of spacelike congruences is briefly reviewed. Expressions for the expansion, the rotation and the shear tensor of the spacelike curves and their corresponding natural transport laws in Riemann-Cartan space-time are derived. We consider the Maxwell’s equations with torsion and established the Helmholtz theorems on vortex tubes, magnetic flux tubes and electric flux tubes. The fluid in magnetohydrodynamics provides E a =0, hence counterparts of Helmholtz theorems and the strength of the magnetic flux tube can be measured.
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