More qualitative cosmology

Details More qualitative cosmology More qualitative cosmology

Jun 1971

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1971cmaph..23..137c&link_type=abstract

Communications in Mathematical Physics, Volume 23, Issue 2, pp.137-158

Mathematics

Mathematical Physics

74

Scientific paper

Standard geometric techniques of differential equation theory are employed to determine the qualitative behaviour of a set of non-rotating perfect-fluid cosmologies, whose spatially homogeneous hypersurfaces admit a 3-parameter group of isometries of Bianchi types I, II, III, V, or VI. In this way we are led to some new exact solutions of the field equations. The field equations for a broad class of cosmological models are presented in a regularised form, limitations on the use of this procedure are examined, and some suggestions are made of ways of avoiding the difficulties that arise.

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