The Geometry of Regular Shear-Free Null Geodesic Congruences, CR functions and their Application to the Flat-Space Maxwell Equations

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dc.creatorKozameh, Carlos
dc.creatorNewman, E. T.
dc.creatorSilva-Ortigoza, Gilberto
dc.date2007-06-15
dc.date.accessioned2026-07-07T10:56:14Z
dc.date.available2026-07-07T10:56:14Z
dc.descriptionWe describe here what appears to be a new structure that is hidden in all asymptotically vanishing Maxwell fields possessing a non-vanishing total charge. Though we are dealing with real Maxwell fields on real Minkowski space nevertheless, directly from the asymptotic field one can extract a complex analytic world-line defined in complex Minkowski space that gives a unified Lorentz invariant meaning to both the electric and magnetic dipole moments. In some sense the world-line defines a `complex center of charge' around which both electric and magnetic dipole moments vanish. The question of how and where does this complex world-line arise is one of the two main subjects of this work. The other subject concerns what is known in the mathematical literature as a CR structure. In GR, CR structures naturally appear in the physical context of shear-free (or asymptotically shear-free) null geodesic congruences in space-time. For us, the CR structure is associated with the embedding of Penrose's real three-dimensional null infinity, I^+, as a surface in a two complex dimensional space, C^2. It is this embedding, via a complex function, (a CR function), that is our other area of interest. Specifically we are interested in the `decomposition' of the CR function into its real and imaginary parts and the physical information contained in this decomposition.
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/0706.2318
dc.identifierhttp://arxiv.org/abs/0706.2318
dc.identifierClass.Quant.Grav.24:5479-5494,2007
dc.identifierdoi:10.1088/0264-9381/24/22/012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186343
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleThe Geometry of Regular Shear-Free Null Geodesic Congruences, CR functions and their Application to the Flat-Space Maxwell Equations
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