Nöther's symmetries in non-flat cosmologies

descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 1994 Italy English Publisher:Springer Science and Business Media LLCJournal:Il Nuovo Cimento B Series 11, volume 109, pages 159-165 (eissn: 1826-9877,

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Authors: Capozziello S.; de Ritis R.; Scudellaro P.;

doi: 10.1007/bf02727426

handle: 11588/162624 , 11588/890692

Nöther's symmetries in non-flat cosmologies

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Abstract

We study non-flat Friedman-Robertson-Walker (FRW) cosmologies searching for Nother 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 constantk is different from zero, while exact solutions, through the existence of the symmetry, are found in the minimally coupled case.

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Italy

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Keywords

Theoretical cosmology

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