Force-Free Foliations
Mathematical Physics
2017-10-31 v2 High Energy Astrophysical Phenomena
General Relativity and Quantum Cosmology
High Energy Physics - Theory
math.MP
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.
Cite
@article{arxiv.1606.06727,
title = {Force-Free Foliations},
author = {Geoffrey Compère and Samuel E. Gralla and Alexandru Lupsasca},
journal= {arXiv preprint arXiv:1606.06727},
year = {2017}
}
Comments
26 pages, 1 figure. v2: minor edits, matches published version