Effective connections and fields associated with shear-free null congruences

A special subclass of shear-free null congruences (SFC) is studied, with tangent vector field being a repeated principal null direction of the Weyl tensor. We demonstrate that this field is parallel with respect to an effective affine connection which contains the Weyl nonmetricity and the skew symm...

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Veröffentlicht in:	arXiv.org 2004-01
Hauptverfasser:	Kassandrov, V V, Trishin, V N
Format:	Artikel
Sprache:	eng
Schlagworte:	Congruences Differential equations Fields (mathematics) Operators (mathematics) Singularities Tensors
Online-Zugang:	Volltext
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