The constraint of H-0 from galaxy clusters and Hubble parameter data

摘要

Using comoving distance dc and angular diameter distance dA, 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 dc comes from Hubble data H(z) and is more reliable. Angular diameter distance dA 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 +/- 0.24 km.s(-1).Mpc(-1), corresponding to 0.4% uncertainty in 68.3% confidence region, also deceleration factor q(0) = -0.57 +/- 0.04 and acceleration rate j(0) = 1.28 +/- 0.33, and their statistical values and probability graph. We compare the values of H-0, q(0) and j(0) with those obtained from other observation data and model.