Cosmological-model-independent determination of Hubble constant from fast radio bursts and Hubble parameter measurements

Abstract

We establish a cosmological-model-independent method to determine the Hubble constant $H_0$ from the localized fast radio bursts (FRBs) and the Hubble parameter measurements from cosmic chronometers and obtain a first such determination $H_0=71\pm 3~\mathrm{km/s/Mpc}$, with an uncertainty of 4\%, from the eighteen localized FRBs and nineteen Hubble parameter measurements in the redshift range $0<z\leq0.66$. This value, which is independent of the cosmological model, is consistent with the results from the nearby type Ia supernovae (SN Ia) data calibrated by Cepheids and the Planck cosmic microwave background radiation observations at the $1\sigma$ and 2$\sigma$ confidence level, respectively. Simulations show that the uncertainty of $H_0$ can be decreased to the level of that from the nearby SN Ia when mock data from 500 localized FRBs with 50 Hubble parameter measurements in the redshift range of $0<z\leq1$ are used. Since localized FRBs are expected to be detected in large quantities, our method will be able to give a reliable and more precise determination of $H_0$ in the very near future, which will help us to figure out the possible origin of the Hubble constant disagreement.