Force-Free Foliations
arXiv:1606.06727 · doi:10.1103/PhysRevD.94.124012
Abstract
Electromagnetic field configurations with vanishing Lorentz force density are known as force-free and appear in terrestrial, space, and astrophysical plasmas. We explore a general method for finding such configurations based on formulating equations for the field lines rather than the field itself. The basic object becomes a foliation of spacetime or, in the stationary axisymmetric case, of the half-plane. We use this approach to find some new stationary and axisymmetric solutions, one of which could represent a rotating plasma vortex near a magnetic null point.
26 pages, 1 figure. v2: minor edits, matches published version
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Cited by in corpus (13)
- Black Hole Polarimetry I: A Signature of Electromagnetic Energy Extraction
- Effective Field Theory of Force-Free Electrodynamics
- The essence of the Blandford-Znajek process
- Conservation laws and evolution schemes in geodesic, hydrodynamic and magnetohydrodynamic flows
- Analytic properties of force-free jets in the Kerr spacetime -- III: uniform field solution
- Near horizon extremal Myers-Perry black holes and integrability of associated conformal mechanics
- Geometrical tools for embedding fields, submanifolds, and foliations
- Observability of Zero-angular-momentum Sources Near Kerr Black Holes
- Force-free Electrodynamics and Foliations in an arbitrary Spacetime
- The Non-Null and Force-Free Electromagnetic Field
- Operator lifetime and the force-free electrodynamic limit of magnetised holographic plasma
- The force-free dipole magnetosphere in non-linear electrodynamics
- Conformal symmetry in force-free electrodynamics