Knots and the Maxwell Equations
Classical Physics
2020-04-15 v4 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
In this chapter, we review the Ra\~{n}ada field line solutions of Maxwell's equations in the vacuum, which describe a topologically non-trivial electromagnetic field, as well as their relation with the knot theory. Also, we present a generalization of these solutions to the non-linear electrodynamics recently published in the literature.
Keywords
Cite
@article{arxiv.1911.04486,
title = {Knots and the Maxwell Equations},
author = {Ion V. Vancea},
journal= {arXiv preprint arXiv:1911.04486},
year = {2020}
}
Comments
Published in An Essential Guide to Maxwell's Equations, Editor Casey Erickson, Nova Science Publishers, https://novapublishers.com/shop/an-essential-guide-to-maxwells-equations/