Mathematics – Logic
Scientific paper
Dec 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991gregr..23.1363h&link_type=abstract
General Relativity and Gravitation, Volume 23, Issue 12, pp.1363-1383
Mathematics
Logic
6
Scientific paper
The Einstein field equations for a number of classes of cosmological models have previously been written as polynomial systems of ordinary differential equations. We show that, for restricted parameter values, these equations admit algebraic invariant curves, which, in turn, lead to exact solutions of the field equations. This property explains the recent discovery of a number of exact solutions and is used to produce additional ones.
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