Noether's symmetries in non-flat cosmologies.

Details Noether's symmetries in non-flat cosmologies. Noether's symmetries in non-flat cosmologies.

Feb 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994ncimb.109..159c&link_type=abstract

Nuovo Cimento B, Vol. 109, No. 2, p. 159 - 165

Mathematics

Logic

8

Cosmological Models

Scientific paper

The authors study non-flat Friedmann-Robertson-Walker (FRW) cosmologies searching for Noether symmetries in the pointlike Lagrangians derived from a general non-minimally coupled gravitational action. The presence of a quadratic coupling makes the dynamics degenerate if the spatial-curvature constant is different from zero, while exact solutions, through the existence of the symmetry, are found in the minimally coupled case.

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