We study non-flat Friedman-Robertson-Walker (FRW) cosmologies searching for Nöther 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. © 1994 Società Italiana di Fisica.
Nöther's symmetries in non-flat cosmologies / Capozziello, S.; de Ritis, R.; Scudellaro, P.. - In: IL NUOVO CIMENTO DELLA SOCIETÀ ITALIANA DI FISICA. B, GENERAL PHYSICS, RELATIVITY, ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS. - ISSN 1594-9982. - 109:2(1994), pp. 159-165. [10.1007/BF02727426]
Nöther's symmetries in non-flat cosmologies
Capozziello S.
;Scudellaro P.
1994
Abstract
We study non-flat Friedman-Robertson-Walker (FRW) cosmologies searching for Nöther 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. © 1994 Società Italiana di Fisica.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
