A measurement of Hubble constant using cosmographic approach combining fast radio bursts and supernovae

Abstract

ABSTRACT The Hubble constant (H0) is a crucial parameter in cosmology. Different cosmic observations have resulted in varying estimates results for H0, that is the well-known H0 tension. To address this issue, it is beneficial to use other data set to constrain H0. In this paper, via the cosmographic approach based on the Friedman–Lemaitre–Robertson–Walker (FLRW) metric to the dispersion measure (DM) of the intergalactic medium DMIGM(z) of fast radio bursts (FRBs), we obtain the Taylor expansion of 〈DMIGM(z)〉 in terms of redshift z. Utilizing the uncalibrated type Ia supernaove (SNe Ia) and 18 localized FRBs, we give the cosmological constraints, $H_0=65.5^{+6.4}_{-5.4}$ km s−1 Mpc−1 (68 per cent CL), cosmological deceleration parameter q0 = −0.50 ± 0.20 and the jerk parameter $j_0=-0.1^{+2.0}_{-2.5}$. To demonstrate the impact of parameter degeneracies on our analysis methods, we compare the results using three different forms of fIGM(z) and two different prior distributions of Ωb, 0. After that, we find that the uncertainty in H0 is not significantly affected by the width of the prior interval of fIGM(z) and Ωb, 0, but the mean value is influenced by the priors for fIGM(z) and Ωb, 0 due to parameter degeneracies with H0. Employing fIGM(z) that evolves with redshift, we obtain $H_0=69.0^{+6.7}_{-5.7}$ km s−1 Mpc−1. In addition, the mock analyses provide a posterior estimation of H0 with an accuracy of 4.6 per cent and higher precision for q0 and j0 in the near future.