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 Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2018, Volume 146,Pages <nobr>103

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On Geometric Analysis of the Dynamics of Volumetric Expansion and Its Applications to General Relativity

S. E. Stepanov^ab, I. E. Denezhkina^a, A. V. Ovchinnikov^cb

^a Financial University under the Government of the Russian Federation, Moscow
^b All-Russian Institute for Scientific and Technical Information of Russian Academy of Sciences
^c Lomonosov Moscow State University

Abstract: 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.

UDC: 514.82

MSC: 53C25, 53Z05