Cosmological constraints on the gravitational constant

Abstract We study the variation of gravitational constant on cosmological scales in scalar-tensor theories gravity. focus simplest models with a coupling to Ricci scalar form F ( ? ) = N 2 pl + ?? , such as extended Jordan-Brans-Dicke 0), or non-minimally coupled field M which permits vary self-consistently time and space. In addition, we allow effective differ from Newton's measured G i.e. eff z 0) (1+?) . impact this imbalance ? jointly ? into anisotropies cosmic microwave background matter power spectrum at low-redshift. Combining information Planck 2018 CMB temperature, polarization lensing, together compilation BAO measurements release DR12 Baryon Oscillation Spectroscopic Survey (BOSS), constrain -0.022 ± 0.023 (68% CL) parameter 10 3 < 0.82 (95% for > -0.018 (< 0.021) 0.089 - 0.041) both 95% CL. With current data, observe that degeneracy between ?, scalar, H 0 allows larger value Hubble increasing consistency distance-ladder measurement supernovae type Ia by SH0ES team its inferred data. also how future observations can constant. Future data combination LiteBIRD CMB-S4, large-scale structures galaxy clustering DESI shear LSST reduce uncertainty ?(?) ? 0.004.