Cylindrically-symmetric matter distribution with a magnetic field in Einstein-Cartan Theory

Abstract

In the first part the number of independent non-vanishing components of the 3-index torsion tensor Qjkiis reduced from 24 (in general case) to 12 - for the case of cylindrical symmetry of the underlying manifold. In the second part of the paper we have obtained an exact solution of Einstein-Cartan-Maxwell equations representing a static cylinder of perfect fluid with an axial magnetic field H and non-zero spin density K. © 1991 Kluwer Academic Publishers.