# Model-independent test of the FLRW metric, the flatness of the Universe, and non-local measurement of $H_0$ [CEA]

Using measurements of $H(z)$ and $d_\mathrm{A}(z)$ from the Baryon Oscillation Spectroscopic Survey (BOSS) DR12 and luminosity distances from the Joint Lightcurve Analysis (JLA) compilation of supernovae, we test the Friedmann–Lema\^itre–Robertson–Walker (FLRW) metric and the flatness of the Universe in a model-independent way at two redshifts, namely 0.32 and 0.57. We then combine these observables to measure $H_0$ without any model assumption. Our measurement of $H_0 r_\mathrm{d} = 10075.23 \pm 269.20$ km s$^{-1}$ is consistent with Planck constrains for the flat $\Lambda$CDM model. Assuming $r_\mathrm{d} = 147.10$ Mpc, the fiducial value used in the BOSS analysis, we then derive $H_0 = 68.49 \pm 1.83$ km s$^{-1}$ Mpc$^{-1}$, which is compatible with the expected value of $H_0$ assuming the concordance model of cosmology, but possibly in slight tension with some local measurements. We also report that higher expansion history rates $h(z)$ (among the possibilities) as well as lower-bound values of $H_0$ result in better internal consistency among the independent data ($H(z)$ and $d_\mathrm{A}(z)$ from BAO at $z=0.32$ and $z=0.57$ and $d_\mathrm{L}(z)$ from JLA) we used in this work. This can be interpreted as an interesting and independent support of Planck cosmology without using any cosmic microwave background data.

B. LHuillier and A. Shafieloo
Thu, 23 Jun 16
44/49