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

V. Pelykh
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Abstract

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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V. Pelykh. 2004-08-18. Knot points of double--covariant system of elliptic equations and preferred frames in general relativity. https://doi.org/10.1088/0305-4470%2F35%2F38%2F313

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