Cosmological models, observational data and tension in Hubble constant

Abstract

We analyze how predictions of cosmological models depend on a choice of described observational data, restrictions on flatness, and how this choice can alleviate the $H_0$ tension. These effects are demonstrated in the $w$CDM model in comparison with the standard $\Lambda$CDM model. We describe the Pantheon sample observations of Type Ia supernovae, 31 Hubble parameter data points $H(z)$ from cosmic chronometers, the extended sample with 57 $H(z)$ data points and observational manifestations of cosmic microwave background radiation (CMB). For the $w$CDM and $\Lambda$CDM models in the flat case and with spatial curvature we calculate ${\chi }^2$ functions for all observed data in different combinations, estimate optimal values of model parameters and their expected intervals. For both considered models the results essentially depend on a choice of data sets. In particular, for the $w$CDM model with $H(z)$ data, supernovae and CMB the $1\sigma$ estimations may vary from $H_0=67.52_{-0.95}^{+0.96}$ km\,/(s$\cdot$Mpc) (for all $N_H=57$ Hubble parameter data points) up to $H_0=70.87_{-1.62}^{+1.63}$ km\,/(s$\cdot$Mpc) for the flat case ($k=0$) and $N_H=31$. These results might be a hint how to alleviate the problem of $H_0$ tension: different estimates of the Hubble constant may be connected with filters and a choice of observational data.

arXiv comment15 pages, 6 figures, submitted to Mathematical Modelling and Geometry,

References in corpus (20)

• The Complete Light-curve Sample of Spectroscopically Confirmed Type Ia Supernovae from Pan-STARRS1 and Cosmological Constraints from The Combined Pantheon Sample
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• The Hubble Space Telescope Cluster Supernova Survey: V. Improving the Dark Energy Constraints Above z>1 and Building an Early-Type-Hosted Supernova Sample
• Early Dark Energy Can Resolve The Hubble Tension
• New physics in light of the $H_0$ tension: an alternative view
• Non-minimal dark sector physics and cosmological tensions
• Can interacting dark energy solve the $H_0$ tension?
• Does the Hubble constant tension call for new physics?
• Entropy and universality of Cardy-Verlinde formula in dark energy universe
• Interacting scenarios with dynamical dark energy: observational constraints and alleviation of the $H_0$ tension
• Interacting dark energy with time varying equation of state and the $H_0$ tension
• Reducing the $H_0$ and ${\sigma }_8$ tensions with Dark Matter-neutrino interactions
• A Vacuum Phase Transition Solves $H_0$ Tension
• Observational constraints on one-parameter dynamical dark-energy parametrizations and the $H_0$ tension
• Observational constraints on sign-changeable interaction models and alleviation of the $H_0$ tension
• Search for sterile neutrinos in holographic dark energy cosmology: Reconciling Planck observation with the local measurement of the Hubble constant
• $H_0$ tension as a hint for a transition in gravitational theory
• How predictions of cosmological models depend on Hubble parameter data sets
• Latest astronomical constraints on some nonlinear parametric dark energy models
• Testing logarithmic corrections on $R^2$-exponential gravity by observational data

Cited by in corpus (2)

• Analyzing the $H_0$ tension in $F(R)$ gravity models
• An analysis of the $H_0$ tension problem in a universe with a viscous dark fluid