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

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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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Authors and Affiliations

  1. Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi, India

    T. Singh, R. S. Srivastava & A. M. Helmi

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  1. T. Singh
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  2. R. S. Srivastava
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  3. A. M. Helmi
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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

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