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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Bekenstein, J.D., Oron, A. Extended Kelvin Theorem in Relativistic Magnetohydrodynamics. Foundations of Physics 31, 895–907 (2001). https://doi.org/10.1023/A:1017507917267
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DOI: https://doi.org/10.1023/A:1017507917267