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Symmetry 2017, 9(10), 218; doi:10.3390/sym9100218

On the Fibration Defined by the Field Lines of a Knotted Class of Electromagnetic Fields at a Particular Time

Área de Electromagnetismo, Universidad Rey Juan Carlos, Calle Tulipán s/n, 28933 Móstoles (Madrid), Spain
These authors contributed equally to this work.
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Received: 27 August 2017 / Revised: 5 October 2017 / Accepted: 6 October 2017 / Published: 9 October 2017
(This article belongs to the Special Issue Knot Theory and Its Applications)
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Abstract

A class of vacuum electromagnetic fields in which the field lines are knotted curves are reviewed. The class is obtained from two complex functions at a particular instant t = 0 so they inherit the topological properties of red the level curves of these functions. We study the complete topological structure defined by the magnetic and electric field lines at t = 0 . This structure is not conserved in time in general, although it is possible to red find special cases in which the field lines are topologically equivalent for every value of t. View Full-Text
Keywords: electromagnetic knots; torus knots; maxwell equations in vacuum electromagnetic knots; torus knots; maxwell equations in vacuum
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Arrayás, M.; Trueba, J.L. On the Fibration Defined by the Field Lines of a Knotted Class of Electromagnetic Fields at a Particular Time. Symmetry 2017, 9, 218.

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