Dark Energy and Dark Matter as Geometric Effects in

f(R) gravity is attracting a lot of interest as alternative candidates to explain the observed cosmic acceleration and the missing matter in large scale structures. Very likely, what we call “Dark Matter” and “Dark Energy” are nothing else but signals of the breakdown of General Relativity at large scales. Besides, Solar System experiments do not exclude, a priori, the possibility that such theories could give small observable effects also at these scales. We review some results giving the basic ingredients of such an approach