Investigating the Hubble Tension Through Hubble Parameter Data

The Hubble constant(H_0),which represents the expansion rate of the universe,is one of the most important cosmological parameters.The recent measurements of H0using the distance ladder methods such as type Ia supernovae are significantly greater than the CMB measurements by Planck.The difference points to a crisis in the standard model of cosmology termed Hubble tension.In this work we compare different cosmological models,determine the Hubble constant and comment on the Hubble tension using the data from differential ages of galaxies.The data we use are free from systematic effects as the absolute age estimation of the galaxies is not needed.We apply the Bayesian approach along with the commonly used maximum likelihood method to estimate H_0 and calculate the AIC scores to compare the different cosmological models.The non-flat cosmological model provides a higher value for matter density as well as the Hubble constant compared to the flatΛCDM model.The AIC score is smaller for the flatΛCDM cosmology compared to the non-flat model indicating the flat model a better choice.The best-fit values of H_0 for both these models are 68.7±3.1 km s^(-1)Mpc^(-1)and 72.2±4km s^(-1)Mpc^(-1),respectively.Our results are consistent with the CCHP measurements.However,the flat model result does not agree with the SH0ES result,while the non-flat result is inconsistent with the Planck value.

Measurement of Hubble constant: were differences in secondary distance indicators apparent as early as the HST Key Project?

Different measurements of the Hubble constant(H_(0))are not consistent,and a tension between the CMB based methods and cosmic distance ladder based methods has been observed.Measurements from various distance based methods are also inconsistent.To aggravate the problem,the same cosmological probe(TypeⅠa SNe for instance)calibrated through different methods also provides different values of H_(0).We compare various distance ladder based methods through the already available unique data obtained from the Hubble Space Telescope(HST).Our analysis is based on parametric(t-test)as well as non-parametric statistical methods such as the Mann-Whitney U test and Kolmogorov-Smirnov test.Our results show that different methods provide different values of H_(0) and the differences are statistically significant.The biases in the calibration would not account for these differences as the data have been taken from a single telescope with a common calibration scheme.The unknown physical effects or issues with the empirical relations of distance measurement from different probes could give rise to these differences.