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29 March 2024
 
  » arxiv » 1507.2517

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Utility of observational Hubble parameter data on dark energy evolution
Xiao-Lei Meng ; Xin Wang ; Shi-Yu Li ; Tong-Jie Zhang ;
Date 9 Jul 2015
AbstractAiming at exploring the nature of dark energy, we use thirty-six observational Hubble parameter data (OHD) in the redshift range $0 leqslant z leqslant 2.36$ to make a cosmological model-independent test of the two-point $Omh^2(z_{2};z_{1})$ diagnostic. In $Lambda$CDM, we have $Omh^2 equiv Omega_{m}h^2$, where $Omega_{m}$ is the matter density parameter at present. We bin all the OHD into four data points to mitigate the observational contaminations. By comparing with the value of $Omega_{m}h^2$ which is constrained tightly by the Planck observations, our results show that in all six testing pairs of $Omh^2$ there are two testing pairs are consistent with $Lambda$CDM at $1sigma$ confidence level (CL), whereas for another two of them $Lambda$CDM can only be accommodated at $2sigma$ CL. Particularly, for remaining two pairs, $Lambda$CDM is not compatible even at $2sigma$ CL. Therefore it is reasonable that although deviations from $Lambda$CDM exist for some pairs, cautiously, we cannot rule out the validity of $Lambda$CDM. We further apply two methods to derive the value of Hubble constant $H_0$ utilizing the two-point $Omh^2(z_{2};z_{1})$ diagnostic. We obtain $H_0 = 71.23pm1.54$ ${mathrm{km s^{-1} Mpc^{-1}}}$ from inverse variance weighted $Omh^2$ value (method (I)) and $H_0 = 69.37pm1.59$ ${mathrm{km s^{-1} Mpc^{-1}}}$ that the $Omh^2$ value originates from Planck measurement (method (II)), both at $1sigma$ CL. Finally, we explore how the error in OHD propagate into $w(z)$ at certain redshift during the reconstruction of $w(z)$. We argue that the current precision on OHD is not sufficient small to ensure the reconstruction of $w(z)$ in an acceptable error range, especially at the low redshift
Source arXiv, 1507.2517
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