Testing dark energy models with gamma-ray bursts calibrated from the observational H(z) data through a Gaussian process

We use a cosmology-independent method to calibrate gamma-ray burst (GRB) from the observational Hubble data (OHD) with the cosmic chronometer method. By using Gaussian process to reconstruct OHD, we calibrate the Amati relation (E-p-E-iso) to construct a GRB Hubble diagram with the A118 data set, and constrain dark energy models in a flat space with the Markov chain Monte Carlo numerical method. With the cosmology-independent GRBs at 1.4 < z <= 8.2 in the A118 data set and the Pantheon sample of Type Ia supernovae at 0.01 < z <= 2.3, we obtained Omega(m) = 0.379(-0.024)(+0.033), h = 0.701(-0.0035)(+0.0035), w = -1.25(-0.12)(+0.14), and w(a) = -0.84(-0.38)(+0.81) for the flat Chevallier-Polarski-Linder model at the 1 sigma confidence level. We find no significant evidence supporting deviations from the standard Lambda cold dark matter model.

Automated summary

We calibrate gamma-ray burst (GRB) using a cosmology-independent method based on observational Hubble data (OHD) and the cosmic chronometer method. By reconstructing OHD using Gaussian process, we calibrate the Amati relation (E-p-E-iso) and construct a GRB Hubble diagram with the A118 data set. We also constrain dark energy models in a flat space using the Markov chain Monte Carlo numerical method. The results show no significant evidence supporting deviations from the standard Lambda cold dark matter model.