$f(R)$ gravity in the Jordan Frame as a Paradigm for the Hubble Tension

Understand

We analyse the $f(R)$ gravity in the so-called Jordan frame, as implemented to the isotropic Universe dynamics.

• The goal of the present study is to show that, according to recent data analyses of the supernovae Ia Pantheon sample, it is possible to account for an effective redshift dependence of the Hubble constant.
• This is achieved via the dynamics of a non-minimally coupled scalar field, as it emerges in the $f(R)$ gravity.
• We face the question both from an analytical and purely numerical point of view, following the same technical paradigm.