Implications of non-analytic f(R) gravity at solar system scales

We motivate and analyze the weak-field limit of a non-analytic modification of the Einstein-Hilbert Lagrangian for the gravitational field. After investigating the parameter space of the model, we impose constraints on the parameters characterizing this class of theories by means of solar system data, i.e. we establish the validity range where this solution applies and refine the constraints by comparison with planetary orbits. As a result, we claim that this class of models is viable within different astrophysical scales.