Evidence for a ~300 Mpc Scale Under-density in the Local Galaxy Distribution

Galaxy counts and recent measurements of the luminosity density in the near-infrared (NIR) have indicated the possibility that the local universe may be under-dense on scales of several hundred megaparsecs. The presence of a large-scale under-density in the local universe could introduce significant biases into the interpretation of cosmological observables, and, in particular, into the inferred effects of dark energy on the expansion rate. Here we measure the K-band luminosity density as a function of redshift to test for such a local under-density. In this effort, we combine photometry from UKIDSS and 2MASS with redshifts from the SDSS, 2DFGRS, 6DFGRS, 2MR, and GAMA surveys. We find that the overall shape of the z=0 rest-frame K-band luminosity function (M* = -22.15 +/- 0.04 and alpha = -1.02 +/- 0.03) appears to be relatively constant as a function of environment and redshift out to z ~0.2. We find a local (z < 0.07) luminosity density that is in good agreement with previous studies. Beyond z ~ 0.07 we detect a rising luminosity density that reaches a value ~1.5 times higher than that measured locally at z>0.1. This suggests that the stellar mass density as a function of redshift follows a similar trend. Assuming that luminous matter traces the underlying dark matter distribution, this implies that the local mass density of the universe may be lower than the global value on a scale and amplitude sufficient to introduce significant biases into the determination of basic cosmological observables, such as the expansion rate. An under-density of roughly this scale and amplitude would be sufficient to resolve the apparent tension between direct measurements of the Hubble constant and those inferred by Planck.