A new approach to reconstruction methods in f(R) gravity

We present a new approach of the reconstruction method based on the use of the cosmic parameters instead of a time law for the scale factor. This solution generating technique allows the derivation and analysis of a set of new non-trivial exact cosmological solutions for f(R)-gravity. Specifically, we find two new cyclic solutions and we re-obtain a characteristic solution found also in the classical Starobinsky's model of higher order inflation. © 2012 IOP Publishing Ltd.