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
Voir la notice de l'article provenant de la source Math-Net.Ru
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.
@article{INTO_2018_146_a4,
author = {S. E. Stepanov and I. E. Denezhkina and A. V. Ovchinnikov},
title = {On {Geometric} {Analysis} of the {Dynamics} of {Volumetric} {Expansion} and {Its} {Applications} to {General} {Relativity}},
journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
pages = {103--112},
publisher = {mathdoc},
volume = {146},
year = {2018},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTO_2018_146_a4/}
}
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%0 Journal Article %A S. E. Stepanov %A I. E. Denezhkina %A A. V. Ovchinnikov %T On Geometric Analysis of the Dynamics of Volumetric Expansion and Its Applications to General Relativity %J Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory %D 2018 %P 103-112 %V 146 %I mathdoc %U http://geodesic.mathdoc.fr/item/INTO_2018_146_a4/ %G ru %F INTO_2018_146_a4
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/