Hubble parameter measurement constraints on the redshift of the deceleration-acceleration transition, dynamical dark energy, and space curvature

Abstract

We compile an updated list of 38 measurements of the Hubble parameter $H(z)$ between redshifts $0.07\le z\le 2.36$ and use them to place constraints on model parameters of constant and time-varying dark energy cosmological models, both spatially flat and curved. We use five models to measure the redshift of the cosmological deceleration-acceleration transition, $z_{\mathrm{da}}$, from these $H(z)$ data. Within the error bars, the measured $z_{\mathrm{da}}$ are insensitive to the model used, depending only on the value assumed for the Hubble constant $H_0$. The weighted mean of our measurements is $z_{\mathrm{da}}=0.72\pm 0.05(0.84\pm 0.03)$ for $H_0=68\pm 2.8(73.24\pm 1.74)$ km s${}^{-1}$ Mpc${}^{-1}$ and should provide a reasonably model-independent estimate of this cosmological parameter. The $H(z)$ data are consistent with the standard spatially-flat $\Lambda$CDM cosmological model but do not rule out non-flat models or dynamical dark energy models.

7 Tables and 4 Figures, ApJ, in press

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