Published online by Cambridge University Press: 30 September 2008
f(R) gravity is attracting a lot of interest as alternativecandidates to explain the observed cosmic acceleration and themissing matter in large scale structures. Very likely, what wecall “Dark Matter” and “Dark Energy” are nothing else but signalsof the breakdown of General Relativity at large scales. Besides,Solar System experiments do not exclude, a priori, the possibilitythat such theories could give small observable effects also atthese scales. We review some results giving the basic ingredientsof such an approach.