Covariant magnetic connection hypersurfaces
Abstract
> In the single fluid, non-relativistic, ideal magnetohydrodynamic (MHD) plasma description, magnetic field lines play a fundamental role by defining dynamically preserved `magnetic connections' between plasma elements. Here we show how the concept of magnetic connection needs to be generalized in the case of a relativistic MHD description where we require covariance under arbitrary Lorentz transformations. This is performed by defining 2-D magnetic connection hypersurfaces in the 4-D Minkowski space. This generalization accounts for the loss of simultaneity between spatially separated events in different frames and is expected to provide a powerful insight into the 4-D geometry of electromagnetic fields when .
- Publication:
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Journal of Plasma Physics
- Pub Date:
- April 2016
- DOI:
- 10.1017/S0022377816000325
- arXiv:
- arXiv:1603.03909
- Bibcode:
- 2016JPlPh..82b5501P
- Keywords:
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- Physics - Plasma Physics
- E-Print:
- 10 pages no figures