NONMINIMAL COUPLING AND COSMIC NO-HAIR THEOREM

We give (sufficient) conditions for the extension of the cosmic no-hair conjecture to nonminimally coupled scalar-tensor theories in which the coupling is not given a priori. Furthermore, in a Friedman-Robertson-Walker spacetime, we get exact solutions for such theories using the so-called Noether symmetry approach. The results are interesting because we obtain behaviours able to avoid the initial singularity.