In this paper, we discuss the global aspect of the geometric dynamics of volumetric expansion and its applications to the problem of the existence in the space-time of compact and complete spacelike hypersurfaces and to the global geometry of generalized Robertson–Walker space-times.
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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 146, Geometry, 2018.
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Stepanov, S.E., Denezhkina, I.E. & Ovchinnikov, A.V. On Geometric Analysis of the Dynamics of Volumetric Expansion and its Applications to General Relativity. J Math Sci 245, 659–668 (2020). https://doi.org/10.1007/s10958-020-04715-2
Keywords and phrases
- volumetric expansion
- vector field
- spacelike hypersurface
AMS Subject Classification