Do the observational data favor a local void?

Abstract

The increasing tension between the different local direct measurements of the Hubble expansion rate and that inferred from the cosmic microwave background observation by the $\mathrm{\ensuremath{\Lambda}}$-cold-dark-matter model could be a smoking gun of new physics, if not caused by either observational systematics or local bias. We generalize previous investigation on the local bias from a local void by globally fitting the Pantheon sample over all parameters in the radial profile function of a local void described by an inhomogeneous but isotropic Lema\^{\i}tre-Tolman-Bondi metric with a cosmological constant. Our conclusion strengthens the previous studies that the current tension on Hubble constant cannot be saved by a local void alone.