Coupling parameters and the form of the potential via Noether symmetry

Details Coupling parameters and the form of the potential via Noether symmetry Coupling parameters and the form of the potential via Noether symmetry

2002-10-02

arxiv.org/abs/astro-ph/0210063v1

Gen.Rel.Grav.35:1617-1635,2003

Astronomy and Astrophysics

Astrophysics

13 pages, no figures

Scientific paper

10.1023/A:1025731102050

We explore the conditions for the existence of Noether symmetries in the dynamics of FRW metric, non minimally coupled with a scalar field, in the most general situation, and with nonzero spatial curvature. When such symmetries are present we find general exact solution for the Einstein equations. We also show that non Noether symmetries can be found. Finally,we present an extension of the procedure to the Kantowski- Sachs metric which is particularly interesting in the case of degenerate Lagrangian.

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