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Astrophysics > Cosmology and Nongalactic Astrophysics
Title: Calibrating gamma-ray bursts by using Gaussian process with type Ia supernovae
(Submitted on 4 Nov 2022 (this version), latest version 5 Dec 2022 (v2))
Abstract: In this paper, we calibrate the Amati relation (the $E_{\rm p}$-$E_{\rm iso}$ correlation) of gamma-ray bursts (GRBs) in a cosmology-independent way. By using Gaussian process to reconstruct the smoothed luminosity distance from the Pantheon type Ia supernovae (SNe Ia) sample, we utilize the reconstructed results to calibrate the $E_{\rm p}$-$E_{\rm iso}$ correlation with the Markov Chain Monte Carlo method and construct a Hubble diagram with the A220 GRB data, in which A118 GRB data with the higher qualities appropriate for cosmological purposes. With 98 GRBs at $1.4<z\leq8.2$ in A118 sample and the observed Hubble data, we obtain $\Omega_m$ = $0.346^{+0.048}_{-0.069}$, $h$ = $0.677^{+0.029}_{-0.029}$ for the flat $\Lambda$CDM model, and $\Omega_m$ = $0.314^{+0.072}_{-0.055}$, $h$ = $0.705^{+0.055}_{-0.069}$, $w$ = $-1.23^{+0.33}_{-0.64}$ for the flat $w$CDM model, which are consistent with those from fitting the coefficients of the Amati relation and the cosmological parameters simultaneously.
Submission history
From: Nan Liang [view email][v1] Fri, 4 Nov 2022 14:02:41 GMT (915kb,D)
[v2] Mon, 5 Dec 2022 08:38:10 GMT (915kb,D)
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