The local to global $H_0$ ratio and the SNe Ia results

Abstract

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 supernovæare 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 $Ω_{M} = 0.3, Ω_Λ=0$) are prefered and if the local value is around 20 per cent higher then standard cosmological models ($Ω_{M} = 1, Ω_Λ=0$) can be recovered. Even in the case where the Hubble parameter ratio is 1, low $Ω_M$ open cosmologies with $Ω_Λ = 0$ are not rejected at the 95 per cent confidence level.