On the structure of general solution to the equations of shear-free null congruences

dc.creatorKassandrov, Vladimir V.
dc.date2006-02-13
dc.date.accessioned2026-07-07T07:02:37Z
dc.date.available2026-07-07T07:02:37Z
dc.descriptionWe demonstrate that the source of a shear-free null congruence is, generically, a world sheet of a singular string in the complex Minkowski space. In particular cases the string degenerates into the Newman's point singularity. We describe also a time-dependent deformation of the Kerr's congruence which could indicate the unstability of the Kerr (Kerr-Newman) (electro)vacuum solution. Then we consider a 5D extension of Minkowski space obtained by complexification of the time coordinate. Singular locus of a shear-free null congruence on such an extended space-time consists of a (great) number of point particles (``markeons'') and 2D surfaces -- light-like wave fronts.
dc.description5 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/gr-qc/0602046
dc.identifierhttp://arxiv.org/abs/gr-qc/0602046
dc.identifierProceedings of the Int. School-Seminar on geometry and analysis in memory of N.V.Efimov. Rostov-na-Donu Univ. Press, 2004, p. 65-68
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/108665
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleOn the structure of general solution to the equations of shear-free null congruences
dc.typetext

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