Dust universes with spatial spherical symmetry and euclidean initial hypersurfaces

Details Dust universes with spatial spherical symmetry and euclidean initial hypersurfaces Dust universes with spatial spherical symmetry and euclidean initial hypersurfaces

Dec 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985mecc...20..267l&link_type=abstract

Meccanica (ISSN 0025-6455), vol. 20, Dec. 1985, p. 267-271. CNR-sponsored research.

Physics

1

Cosmic Dust, Cosmology, Euclidean Geometry, Gravitational Collapse, Hyperspaces, Relativity, Mass Distribution, Matter (Physics), Space-Time Functions, Universe

Scientific paper

The relativistic Tolman-Bondi equations for a pressure-free spherically symmetrical dust universe are applied to the special case of a euclidean initial hypersurface. The dust evolution of the euclidean system is given by the function T(r) describing the moment at which the material shells collapse into the symmetry center. It is shown that the initial physical conditions on the hypersurface and the evolution of dust are uniquely dependent on the function (t T(r). Examples of dust universes having linearly generated and instanteously generated dust, are described, respectively.

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