The local to global H₀ ratio and the SNe Ia results

The effects of differences between the local and global values of the Hubble parameter on the cosmologies consistent with studies of high-redshift Type Ia supernov\ae are discussed. It is found that with a local Hubble parameter around 10 per cent higher than the global value then open cosmological models (such as $\Omega_{M} = 0.3, \Omega_{\Lambda}=0$) are prefered and if the local value is around 20 per cent higher then standard cosmological models ($\Omega_{M} = 1, \Omega_{\Lambda}=0$) can be recovered. Even in the case where the Hubble parameter ratio is 1, low $\Omega_M$ open cosmologies with $\Omega_{\Lambda} = 0$ are not rejected at the 95 per cent confidence level.