Post-Newtonian Limit of Hybrid Metric-Palatini f(R)-Gravity

Abstract

Using the latest most accurate values of post-Newtonian parameters γ and β obtained by MESSENGER we impose restrictions on the recently proposed hybrid f(R)-gravity model in its scalar–tensor representation. We show that the presence of a light scalar field in this theory does not contradict the experimental data based not only on the γ parameter (as was shown earlier), but also on all other PPN parameters. The application of parameterized post-Newtonian formalism to gravitational theories with massive fields is also discussed.