Implications of non-analytical f(R) gravity at Solar-System scales

TL;DR

This paper investigates a non-analytical f(R) gravity model's weak-field limit, constraining its parameters using Solar-System data and planetary orbits, and finds it viable across various astrophysical scales.

Contribution

It introduces and analyzes a non-analytical f(R) gravity model, deriving constraints from Solar-System tests and expanding the understanding of its astrophysical viability.

Findings

Model constrained by Solar-System data

Parameter space refined through planetary orbit comparison

Model remains viable at multiple astrophysical scales

Abstract

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