# Covariant magnetic connection hypersurfaces

@article{Pegoraro2016CovariantMC, title={Covariant magnetic connection hypersurfaces}, author={Francesco Pegoraro}, journal={Journal of Plasma Physics}, year={2016}, volume={82} }

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…

## 6 Citations

### Lorentz invariant ‘potential magnetic field’ and magnetic flux conservation in an ideal relativistic plasma

- PhysicsJournal of Plasma Physics
- 2018

A family of Lorentz invariant scalar functions of the magnetic field is defined in an ideal relativistic plasma. These invariants are advected by the plasma fluid motion and play the role of the…

### Description of nonideal Lorentz transformation for electromagnetic nulls

- Physics
- 2018

To identify characteristic topological features of the electromagnetic field in an arbitrary reference frame, Lorentz transformation properties of an electromagnetic field near a null point are…

### General connected and reconnected fields in plasmas

- Physics
- 2018

For plasma dynamics, more encompassing than the magnetohydrodynamical (MHD) approximation, the foundational concepts of “magnetic reconnection” may require deep revisions because, in the larger…

### Magnetic reconnection: from MHD to QED

- Physics
- 2016

The paper examines the prospects of using laser plasmas for studying novel regimes of the magnetic field line reconnection and charged particle acceleration. Basic features of plasma dynamics in the…

### Magnetic reconnection in the high-energy density regime

- PhysicsPhysical review. E
- 2016

The Lorentz-invariant scalar quantity D(e) in the electron dissipation region is proposed as the key sign of MR occurrence in this regime of high-energy-density (HED) regime.

### Generalized magnetofluid connections in a curved spacetime

- PhysicsPhysical Review D
- 2020

The ideal magnetohydrodynamic theorem on the conservation of the magnetic connections between plasma elements is extended to nonideal relativistic plasmas in curved spacetime. The existence of…

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