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

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

2006-02-13

arxiv.org/abs/gr-qc/0602046v1

Proceedings of the Int. School-Seminar on geometry and analysis in memory of N.V.Efimov. Rostov-na-Donu Univ. Press, 2004, p.

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, LaTeX

Scientific paper

We 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.

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