Lower limits on the Hubble constant from models of type Ia supernovae

By coupling observations of type Ia supernovae with results obtained from the best available numerical models we constrain the Hubble constant, independently of any external calibrators. We find an absolute lower limit of H0 > 50 ${\rm km\,s^{-1}~Mpc^{-1}}$. In addition, we construct a Hubble diagram with UVOIR light curves of 12 type Ia supernovae located in the Hubble flow, and when adopting the most likely values (obtained from 1-D and 3-D deflagration simulations) of the amount of $\rm ^{56}Ni$ produced in a typical event, we find values of H0 ≥ 66 ± 8 and ≥78 ± 9 ${\rm km\,s^{-1}~Mpc^{-1}}$, respectively. Our result may be difficult to reconcile with recent discussions in the literature as it seems that an Einstein-de Sitter universe requires H0 $\simeq$ 46 ${\rm km\,s^{-1}~Mpc^{-1}}$ in order to fit the temperature power spectrum of the cosmic microwave background and maintain the age constraints of the oldest stars