A nonstationary generalization of the Kerr congruence

Details A nonstationary generalization of the Kerr congruence A nonstationary generalization of the Kerr congruence

2009-08-07

arxiv.org/abs/0908.1123v1

Grav.Cosmol.15:213-219,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, twocolumn

Scientific paper

10.1134/S0202289309030037

Making use of the Kerr theorem for shear-free null congruences and of Newman's representation for a virtual charge ``moving'' in complex space-time, we obtain an axisymmetric time-dependent generalization of the Kerr congruence, with a singular ring uniformly contracting to a point and expanding then to infinity. Electromagnetic and complex eikonal field distributions are naturally associated with the obtained congruence, with electric charge being necesssarily unit (``elementary''). We conjecture that the corresponding solution to the Einstein-Maxwell equations could describe the process of continious transition of the naked ringlike singularitiy into a rotating black hole and vice versa, under a particular current radius of the singular ring.

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