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

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

2004-07-16

arxiv.org/abs/gr-qc/0407065v1

Proceedings of the Tenth Marcel Grossmann meeting (Rio de Janeiro 2003), World Scientific, Singapore, 2006, pp. 1931-1936

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, to appear in Proceedings of the Tenth Marcel Grossmann Meeting on General Relativity, 2003

Scientific paper

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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