An Einstein-Strauss-de Sitter model of the universe

Details An Einstein-Strauss-de Sitter model of the universe An Einstein-Strauss-de Sitter model of the universe

Aug 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984baicz..35..205s&link_type=abstract

Astronomical Institutes of Czechoslovakia, Bulletin (ISSN 0004-6248), vol. 35, Aug. 1984, p. 205-215.

Mathematics

Logic

8

Big Bang Cosmology, Space-Time Functions, Universe, Geodesy, Gravitational Collapse, Neutrinos

Scientific paper

The possibility of constructing an Einstein-Strauss-de Sitter model of the Universe (i.e. a model of Schwarzschild-de Sitter mass condensations immersed in a Friedmann universe with the cosmological constant Λ present) is proved. Geodesic motion is considered in both the Schwarzschild-de Sitter and Friedmann parts of the model, and the matching of geodesics across the matching hypersurface of these parts is given. Some consequences of this geodesics-matching, which should be relevant in the process of formation and evolution of mass condensations due to gravitational instability of massive neutrinos in a neutrino-dominated universe, are discussed.

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