On Geometric Analysis of the Dynamics of Volumetric Expansion and Its Applications to General Relativity
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry, Tome 146 (2018), pp. 103-112

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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.
Keywords: volumetric expansion, vector field, flow, space-time, spacelike hypersurface.
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S. E. Stepanov; I. E. Denezhkina; A. V. Ovchinnikov. On Geometric Analysis of the Dynamics of Volumetric Expansion and Its Applications to General Relativity. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry, Tome 146 (2018), pp. 103-112. http://geodesic.mathdoc.fr/item/INTO_2018_146_a4/