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Cylindrically-symmetric matter distribution with a magnetic field in Einstein-Cartan Theory
Authors:T Singh  R S Srivastava  A M Helmi
Institution:(1) Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi, India
Abstract:In the first part the number of independent non-vanishing components of the 3-index torsion tensorQ jk i 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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