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Extended Kelvin theorem in relativistic magnetohydrodynamics

Abstract

We prove the existence of a generalization of Kelvin's circulation theorem in general relativity which is applicable to perfect isentropic magnetohydrodynamic flow. The argument is based on a new version of the Lagrangian for perfect magnetohydrodynamics. We illustrate the new conserved circulation with the example of a relativistic magnetohydrodynamic flow possessing three symmetries.Comment: Invited talk at IARD 2000, the Second International Conference on Relativistic Dynamics, Bar-Ilan University, Israel, 26-28 June, 2000. To appear in the proceedings in a special issue of Foundations of Physic

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