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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 γand β 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.

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