PPN limit and cosmological gravitational waves as tools to constrain f(R)-gravity

TL;DR

This paper investigates how Solar System tests and gravitational wave backgrounds can constrain $f(R)$ gravity models that are consistent with cosmological observations and stability criteria.

Contribution

It analyzes the compatibility of $f(R)$ gravity models with Solar System and gravitational wave data, providing a framework to test these models across different scales.

Findings

Certain $f(R)$ models satisfy both cosmological and Solar System constraints.

The potential for detecting $f(R)$ model signatures in gravitational wave backgrounds.

Parameter ranges of $f(R)$ models can be constrained by combined Solar System and GW observations.

Abstract

We discuss the PPN Solar-System constraints and the GW stochastic background considering some recently proposed $f(R)$ gravity models which satisfy both cosmological and stability conditions. Using the definition of PPN-parameters $\gamma$ and $\beta$ in terms of $f(R)$-models and the definition of scalar GWs, we compare and discuss if it is possible to search for parameter ranges of $f(R)$-models working at Solar System and GW stochastic background scale.