Some remarks about non-minimally coupled scalar field models

Understand

Several results related to flat Friedmann-Lema\^{\i}tre-Robertson-Walker models in the conformal (Einstein) frame of scalar-tensor gravity theories are extended.

• Scalar fields with arbitrary (positive) potentials and arbitrary coupling functions are considered.
• Mild assumptions under such functions (differentiable class, number of singular points, asymptotes, etc) are introduced in a straightforward manner in order to characterize the asymptotic structure on a phase space.
• We pay special attention to the possible scaling solutions.