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Lorentz manifolds with homogeneous spacelike cuts

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Abstract

Lorentz manifolds Vn whose fundamental tensor satisfies the Einstein equations with hydrodynamical energymomentum tensor and admits a group of motions with spacelike orbits of codimension one are studied. Problems of geodesic completeness and the possibility of imbedding Vn into a Lorentz V′n satisfying certain conditions are considered.

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Translated from Ukrainskii Geometricheskii Sbornik, No. 34, pp. 105–112, 1991.

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Ulanovskii, M.A. Lorentz manifolds with homogeneous spacelike cuts. J Math Sci 69, 905–909 (1994). https://doi.org/10.1007/BF01250822

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  • DOI: https://doi.org/10.1007/BF01250822

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