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On the geometry of relativistic magnetofluid flows

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Abstract

This paper deals with the construction of “magnetic vorticity” vector using Greenberg's theory of spacelike congruences for the trajectories of magnetic fields. A set of propagation equations is derived for the geometrical invariants associated with the congruences of magnetic field lines and fluid flow lines. Some applications of these propagation equations are made. A generalization of Ferraro's law of isorotation is obtained employing the propagation equation forω 2 along the magnetic field lines.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Banaras Hindu University, 221005, Varanasi, India

    G. Prasad

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  1. G. Prasad
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Prasad, G. On the geometry of relativistic magnetofluid flows. Gen Relat Gravit 11, 177–188 (1979). https://doi.org/10.1007/BF00762127

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  • DOI: https://doi.org/10.1007/BF00762127

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