Knot points of double--covariant system of elliptic equations and preferred frames in general relativity

Details Knot points of double--covariant system of elliptic equations and preferred frames in general relativity Knot points of double--covariant system of elliptic equations and preferred frames in general relativity

2004-08-18

arxiv.org/abs/gr-qc/0408061v1

J.Phys.A35:8135-8144,2002

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages

Scientific paper

10.1088/0305-4470/35/38/313

The elliptic system of equations, which is general-covariant and locally SU(2)-covariant, is investigated. The new condition of the Dirichlet problem solvability and the condition of zeros absence for solutions are obtained for this system, which contains in particular case the Sen-Witten equation. On this basis it is proved the existence of the wide class of hypersurfaces, in all points of which there exists a correspondence between the Sen-Witten spinor field and three-frame, which generalizes the Nester orthoframe. The Nester special orthoframe also exists on a certain subclass containing not only the maximal hypersurfaces.

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