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Knots and the Maxwell Equations

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arxiv 1911.04486 v4 pith:H56SXE5M submitted 2019-11-11 physics.class-ph gr-qchep-thmath-phmath.MP

Ion V. Vancea This is my paper · ORCID
classification physics.class-phgr-qchep-thmath-phmath.MP
keywords equationsfieldmaxwellsolutionschapterdescribeelectrodynamicselectromagnetic
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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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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Non-Null Torus Knotted Gravitational Waves from Gravitoelectromagnetism

    gr-qc 2025-02 reject novelty 4.0 of 10

    The paper constructs torus-knotted gravitational monochromatic waves by extending known electromagnetic knot fields through gravitoelectromagnetism, but the resulting metric fails the stated field equations.

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