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

**Authors:** Hanbei Xie, Xiaodong Nong, Bin Zhang, Huifeng Wang, Zihao Li, Nan Liang  
**arXiv:** [2307.16467](https://arxiv.org/abs/2307.16467)  
**Date:** 2023-07-31  
**Summary page:** https://www.summarizepaper.com/en/arxiv-id/2307.16467v1/

## Key points

- Hanbei Xie et al. present a method to constrain cosmological models using gamma-ray bursts (GRBs)
- They use a sample of 221 GRBs, including 49 from the Fermi catalog with the Amati relation
- The authors focus on two flat cosmological models: flat ΛCDM and flat wCDM
- Constraints are obtained by considering 182 GRBs within the redshift range $0.8\le z\le8.2$ in the Hubble diagram
- The latest observational Hubble data (OHD) is incorporated through the Markov Chain Monte Carlo (MCMC) method
- For the flat ΛCDM model, they find $\Omega_{\rm m}$ = $0.348^{+0.048}_{-0.066}$ and $h$ = $0.680^{+0.029}_{-0.029}$

## Summary

In their paper titled "Constraints on Cosmological Models with Gamma-Ray Bursts in Cosmology-Independent Way," Hanbei Xie, Xiaodong Nong, Bin Zhang, Huifeng Wang, Zihao Li, and Nan Liang present a novel method to constrain cosmological models using gamma-ray bursts (GRBs). They utilize the latest sample of 221 GRBs, including 49 from the Fermi catalog with the Amati relation (the $E_{\rm p}$-${E}_{\rm iso}$ correlation), which is calibrated using a Gaussian process from the Pantheon+ type Ia supernovae (SNe Ia) sample. The authors focus on two flat cosmological models: the flat $\Lambda$CDM model and the flat $w$CDM model. To obtain constraints on these models, they consider 182 GRBs within the redshift range $0.8\le z\le8.2$ in the Hubble diagram. Additionally, they incorporate the latest observational Hubble data (OHD) through the Markov Chain Monte Carlo (MCMC) method. For the flat $\Lambda$CDM model, Xie et al. find that $\Omega_{\rm m}$ = $0.348^{+0.048}_{-0.066}$ and $h$ = $0.680^{+0.029}_{-0.029}$.