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Gauge fields and particle-like formations associated with shear-free null congruences

Vladimir V. Kassandrov·Vladimir N. Trishin
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Abstract

We consider Maxwell fields associated with any shear-free null geodesic congruence on Minkowski or Riemannian background space-time. Bounded singular loci of these fields are treated as particle-like formations, possess "self-quantized" electric charge and undergo self-consistent time dynamics. Complicated singular solutions of Maxwell (as well as related complex Yang-Mills) equations can be obtained in a purely algebraic way using the Kerr theorem.

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Vladimir V. Kassandrov, Vladimir N. Trishin. 2004-07-16. Gauge fields and particle-like formations associated with shear-free null congruences. https://doi.org/10.1142/9789812704030_0239

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