The Constraint of H0from Galaxy clusters and Hubble parameter data

Hai Huang; Long Huang

doi:10.1142/S0218271817501292

paper

The Constraint of H0from Galaxy clusters and Hubble parameter data

arXiv:2103.03440 · doi:10.1142/S0218271817501292

Abstract

Using comoving distance $d_{c}$ and angular diameter distance $d_{A}$ , we recalculate parameters describing kinematical state of the universe, still combining the kinematical model of universe but not relying on dynamical equations for gravity. Comoving distance $d_{c}$ comes from Hubble data H(z) and is more reliable. Angular diameter distance $d_{A}$ comes from SZE (Sunyaev-Zel dovich Effect) and X-ray data, and needs calibration. In low redshift case, we use expansion of relation between luminosity distance and redshift about redshift $z$ ; in high redshift case, we take variable substitution $y = 1/ (1 + z)$ , and expand the relation between luminosity distance and redshift about variable $y$ in order to reduce computational errors. Finally we get the more precise value of Hubble parameter $H_{0} = 69.13 \pm 0.24 k m \cdot s^{- 1} \cdot M p c^{- 1}$ , corresponding to 0.4\% uncertainty in $68.3%$ confidence region, also deceleration factor $q_{0} = - 0.57 \pm 0.04$ and acceleration rate $j_{0} = 1.28 \pm 0.33$ , and their statistical values and probability graph. We compare the values of $H_{0}$ , $q_{0}$ , $j_{0}$ with those obtained from other observation data and model.

The Constraint of H0from Galaxy clusters and Hubble parameter data

Abstract

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