$f(R)$ gravity constrained by PPN parameters and stochastic background of gravitational waves

摘要

We analyze seven different viable $f(R)$-gravities towards the Solar Systemtests and stochastic gravitational waves background. The aim is to achieveexperimental bounds for the theory at local and cosmological scales in order toselect models capable of addressing the accelerating cosmological expansionwithout cosmological constant but evading the weak field constraints. Besidelarge scale structure and galactic dynamics, these bounds can be consideredcomplimentary in order to select self-consistent theories of gravity working atthe infrared limit. It is demonstrated that seven viable $f(R)$-gravities underconsideration not only satisfy the local tests, but additionally, pass theabove PPN-and stochastic gravitational waves bounds for large classes ofparameters.