We study non-flat Friedman-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 k is different from zero, while exact solutions, through the existence of the symmetry, are found in the minimally coupled case.
Noether's symmetries in nonflat cosmologies / Capozziello, Salvatore; DE RITIS, Ruggiero; Scudellaro, Paolo. - In: IL NUOVO CIMENTO DELLA SOCIETÀ ITALIANA DI FISICA. B, GENERAL PHYSICS, RELATIVITY, ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS. - ISSN 1594-9982. - STAMPA. - 109:(1994), pp. 159-165.
Noether's symmetries in nonflat cosmologies
CAPOZZIELLO, SALVATORE;DE RITIS, RUGGIERO;SCUDELLARO, PAOLO
1994
Abstract
We study non-flat Friedman-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 k is different from zero, while exact solutions, through the existence of the symmetry, are found in the minimally coupled case.| File | Dimensione | Formato | |
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