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 $E_{ \rm p}$-${ E}_{ \rm iso}$ correlation), which are calibrated by using a Gaussian process from the Pantheon+ type Ia supernovae (SNe Ia) sample. With 182 GRBs at $0.8\le z\le8.2$ in the Hubble diagram and the latest observational Hubble data (OHD) by the Markov Chain Monte Carlo (MCMC) method, we obtained $\Omega_{ \rm m}$ = $0.348^{ +0.048}_{ -0.066}$ and $h$ = $0.680^{ +0.029}_{ -0.029}$ for the flat $\Lambda$CDM model, and $\Omega_{ \rm m}$ = $0.318^{ +0.067}_{ -0.059}$, $h$ = $0.704^{ +0.055}_{ -0.068}$, $w$ = $-1.21^{ +0.32}_{ -0.67}$ 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.
Categories: astro-ph.CO