Other
Scientific paper
Dec 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985crasb.301.1333l&link_type=abstract
Academie des Sciences (Paris), Comptes Rendus, Serie II Mecanique, Physique, Chimie, Sciences de l'Univers, Sciences de la Terre
Other
Cosmology, Hyperspaces, Space-Time Functions, Surface Layers, Symmetry
Scientific paper
A special case of Robertson-Walker space-times (RWST) is considered in terms of simple matter layers constrained to have spherical symmetry. The layers are hypersurfaces of discontinuities separating space-time into two parts and possessing a surficial impulse-energy tensor. The stress is set equal to the surficial energy density and it is assumed that the second fundamental forms of the hypersurfaces are not identical but can be expressed in terms of one another with an appropriate transformation. The space-time metric of the fundamental forms is defined, along with a velocity vector for the simple layers. It is shown that, given a fundamental form of a space-time such as the RWST on a cosmic scale, a second fundamental form of space-time will exist and be accompanied by a hypersurface which satisfies the criteria of definition for a simple matter layer. When the method is applied to the case of Minkowski space-time, the balancing space-time is found to be De Sitter space-time.
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