Constraints on Cosmological Models with Gamma-Ray Bursts in Cosmology-Independent Way

Abstract

In this paper, we present a cosmology-independent method to constrain cosmological models from the latest 221 gamma-ray bursts (GRBs) sample, including 49 GRBs from Fermi catalog with the Amati relation (the $E_{\mathrm{p}}$-$E_{\mathrm{iso}}$ correlation), which are calibrated by using a Gaussian process from the Pantheon+ type Ia supernovae (SNe Ia) sample. With 182 GRBs at $0.8\le z\le 8.2$ in the Hubble diagram and the latest observational Hubble data (OHD) by the Markov Chain Monte Carlo (MCMC) method, we obtained ${\Omega }_{\mathrm{m}}$ = $0.348_{-0.066}^{+0.048}$ and $h$ = $0.680_{-0.029}^{+0.029}$ for the flat $\Lambda$CDM model, and ${\Omega }_{\mathrm{m}}$ = $0.318_{-0.059}^{+0.067}$, $h$ = $0.704_{-0.068}^{+0.055}$, $w$ = $-1.21_{-0.67}^{+0.32}$ for the flat $w$CDM model. These results are consistent with those in which the coefficients of the Amati relation and the cosmological parameters fitted simultaneously.

Accepted for publication in IJMPD. 21 pages, 11 figures, 3 tables

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