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The mismatch in the value of the Hubble constant from low- and high-redshiftobservations may be recast as a discrepancy between the low- and high-redshiftdeterminations of the luminosity of Type Ia supernovae, the latter featuring anabsolute magnitude which is $\approx 0.2$~mag lower. Here, we propose that arapid transition in the value of the relative effective gravitational constant$\mu_G\equiv\frac{G_{\rm eff}}{G_N}$ at $z_t\simeq 0.01$ could explain thelower luminosity (higher magnitude) of local supernovae, thus solving the $H_0$crisis. A model that features $\mu_G = 1$ for $z \lesssim 0.01$ but $\mu_G\simeq 0.9$ for $z \gtrsim 0.01$ is trivially consistent with localgravitational constraints but would raise the Chandrasekhar mass and sodecrease the absolute magnitude of Type Ia supernovae at $z \gtrsim 0.01$ bythe required value of $\approx 0.2$~mag. Such a rapid transition of theeffective gravitational constant would not only resolve the Hubble tension butit would also help resolve the growth tension as it would reduce the growth ofdensity perturbations without affecting the Planck/$\Lambda$CDM backgroundexpansion.

A rapid transition of $G_{\rm eff}$ at $z_t \simeq 0.01$ as a solution of the Hubble and growth tensions