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Magnetohydrodynamics in a Riemann-Cartan space-time

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Abstract

By assuming that Maxwell's electromagnetic field equations are valid in a Riemann-Cartan space-time and by using a set of rules to transform from Riemannian kinematics to Riemann-Cartan kinematics, the kinematic aspects of magnetohydrodynamics in a Riemann-Cartan space-time are examined. If the electric conductivity of the fluid is infinite, then the magnetic field conservation laws still hold, but torsion affects the physical interpretation of the equation for proper charge density. A result, based on the Ricci identity foru a and the first Bianchi identity, and describing differential rotation of a charged fluid in a Riemann space-time, is extended to a Riemann-Cartan space-time. The kinematic role played by torsion in this result is examined.

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Authors and Affiliations

  1. Department of Applied Mathematics, University of the Witwatersrand, Jan Smuts Avenue, 2001, Johannesburg, South Africa

    D. P. Mason

  2. Department of Physics, Division of Mechanics, University of Athens, Panepistimiopolis, Athens 621, Greece

    M. Tsamparlis

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  1. D. P. Mason
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  2. M. Tsamparlis
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Mason, D.P., Tsamparlis, M. Magnetohydrodynamics in a Riemann-Cartan space-time. Gen Relat Gravit 13, 123–134 (1981). https://doi.org/10.1007/BF00756853

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  • DOI: https://doi.org/10.1007/BF00756853

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