Rudinei C. de Souza, Gilberto M. Kremer
The aim of the present work is to investigate a non-minimally coupled scalar field model through the Noether symmetry approach. The radiation, matter and cosmological constant eras are analyzed. By means of a change of coordinates in the configuration space generated by the Noether symmetry, the field equations can be reduced to a single equation which is of the form of the Friedmann equation for the $\Lambda$CDM model. In this way, it is formally shown that the dynamical system can furnish solutions with the same form as those of the $\Lambda$CDM model, although the theory here considered is physically different from the former. The conserved quantity associated with the Noether symmetry can be related to the kinetic term of the scalar field and could constrain the possible deviations of the model from the $\Lambda$CDM picture.
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http://arxiv.org/abs/1301.5161
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