Abstract
It is proved that (1) electromagnetic fields with electric and magnetic components parallel to one another are solutions of Maxwell's equations; (2) the equationB∧(∇∧B)=0 (B is the magnetic field) is gauge and relativistically-invariant for systems of reference moving with velocityv/c=E∧B(1+v 2/c 2)/(E 2+B 2).
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Evangelidis, E.A. Electromagnetic fields satisfying the condition B ∧ (∇ ∧ B)=0. Astrophys Space Sci 143, 113–121 (1988). https://doi.org/10.1007/BF00636760
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DOI: https://doi.org/10.1007/BF00636760