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

      A R Prasanna

      General Relativity Volume 5 Issue 5 November 1975 pp 289-293

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      https://www.ias.ac.in/article/fulltext/pram/005/05/0289-0293

    • Abstract

       

      In this paper we have extended our earlier studies of solutions of Einstein-Cartan equations to the case where a magnetic field co-exists with the matter distribution. We have obtained an exact solution of Einstein-Cartan-Maxwell equations representing a static cylinder of perfect fluid with an axial magnetic fieldH and a non-zero spin densityK, satisfying the equation of stateρ=γ(pr+ps−H2/4π),γ being a constant. We notice that as a consequence of field equations there exists a direct relation between the pressurep, and the spin densityK, indicating that an increase in pressure would enormously increase the spin density.

    • Author Affiliations

       

      A R Prasanna1 2

      1. Institüt für Theoretische Kernphysik der Universität Bonn, Nussallee 14-16, 53 Bonn, Germany
      2. Physical Research Laboratory, Navrangpura, Ahmedabad - 380009

    • Dates

       
      Published
      November 1975
      Manuscript received
      20 August 1975

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