@article{45198e6c3d874f169af850d484684f3c,
title = "Force-free foliations",
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.",
author = "Geoffrey Comp{\`e}re and Gralla, {Samuel E.} and Alexandru Lupsasca",
note = "Funding Information: G.C. would like to thank the Center for Mathematical Sciences and Applications as well as the Center for the Fundamental Laws of Nature at Harvard for their hospitality while part of this work was conducted. G.C. is a Research Associate of the Fonds de la Recherche Scientifique F.R.S.-Fonds National de la Recherche Scientifique (FNRS, Belgium) and he acknowledges the current support of the European Research Council (ERC) Starting Grant No.335146 Holography for realistic black holes and cosmologies (HoloBHC) and convention Institut Interuniversitaire des Sciences Nucleaires (IISN) 4.4503.15 of FNRS-Belgium. S.G. and A.L. were supported by National Science Foundation (NSF) Grant No.1205550 to Harvard University. S.G. was also supported by NSF Grant No.1506027 to the University of Arizona. Finally, we thank anonymous referees for their comments. Publisher Copyright: {\textcopyright} 2016 American Physical Society.",
year = "2016",
month = dec,
day = "8",
doi = "10.1103/PhysRevD.94.124012",
language = "English (US)",
volume = "94",
journal = "Physical Review D",
issn = "2470-0010",
publisher = "American Physical Society",
number = "12",
}