Abstract
In the first part the number of independent non-vanishing components of the 3-index torsion tensorQ i jk is 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 fieldH and non-zero spin densityK.
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Singh, T., Srivastava, R.S. & Helmi, A.M. Cylindrically-symmetric matter distribution with a magnetic field in Einstein-Cartan Theory. Astrophys Space Sci 178, 277–285 (1991). https://doi.org/10.1007/BF00643844
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DOI: https://doi.org/10.1007/BF00643844