English

The Constraint of H0from Galaxy clusters and Hubble parameter data

Cosmology and Nongalactic Astrophysics 2021-05-27 v2

Abstract

Using comoving distance dcd_c and angular diameter distance dAd_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 dcd_c comes from Hubble data H(z) and is more reliable. Angular diameter distance dAd_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 zz; in high redshift case, we take variable substitution y=1/(1+z)y=1/(1+z), and expand the relation between luminosity distance and redshift about variable yy in order to reduce computational errors. Finally we get the more precise value of Hubble parameter H0=69.13±0.24kms1Mpc1H_0=69.13\pm 0.24{\kern 1pt} km{\kern 1pt} \cdot {s^{ - 1}} \cdot Mp{c^{ - 1}}, corresponding to 0.4\% uncertainty in 68.3%68.3\% confidence region, also deceleration factor q0=0.57±0.04q_0=-0.57\pm0.04 and acceleration rate j0=1.28±0.33j_0=1.28\pm0.33, and their statistical values and probability graph. We compare the values of H0{H_0}, q0{q_0}, j0{j_0} with those obtained from other observation data and model.

Keywords

Cite

@article{arxiv.2103.03440,
  title  = {The Constraint of H0from Galaxy clusters and Hubble parameter data},
  author = {Hai Huang and Long Huang},
  journal= {arXiv preprint arXiv:2103.03440},
  year   = {2021}
}
R2 v1 2026-06-23T23:47:04.422Z