Constraints on Newton's Constant from Cosmological Observations

Understand

Newton's constant has observational effects on both the CMB power spectra and the light curves of SNIa.

• We use Planck data, BAO data and the SNIa measurement to constrain the varying Newton's constant $G$ during the CMB epoch and the redshift ranges of PANTHEON samples, and find no evidence indicating that $G$ is varying with redshift.
• By extending the $\Lambda$CDM model with one free parameter $G$, we get $G =(6.65635_{-0.18560}^{+0.18766} ) \times 10^{-11} \rm m^3kg^{-1}s^{-2}$ and $H_0=67.62^{+1.24}_{-1.25} $ km s$^{-1}$ Mpc$^{-1}$ at 68$\%$ C.L.
• from Planck$+$BAO$+$uncalibrated PANTHEON.