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Extended Kelvin theorem in relativistic magnetohydrodynamics

Jacob D. Bekenstein·Asaf Oron
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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.

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Jacob D. Bekenstein, Asaf Oron. 2000-12-06. Extended Kelvin theorem in relativistic magnetohydrodynamics. https://doi.org/10.1023/a%3A1017507917267

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