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Knots and the Maxwell Equations (1911.04486v4)

Published 11 Nov 2019 in physics.class-ph, gr-qc, hep-th, math-ph, and 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.

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