Standardizing Dainotti-correlated gamma-ray bursts, and using them with standardized Amati-correlated gamma-ray bursts to constrain cosmological model parameters
Shulei Cao, Narayan Khadka, Bharat Ratra

TL;DR
This study demonstrates that certain gamma-ray burst datasets obey model-independent correlations, allowing their use as standard candles to place constraints on cosmological parameters, complementing existing data.
Contribution
It introduces a method to standardize Dainotti-correlated GRBs and combines them with Amati-correlated GRBs to constrain cosmological models.
Findings
GRB datasets obey model-independent correlations
Constraints on matter density and curvature are obtained
Results are consistent with accelerated expansion
Abstract
We show that each of the three Dainotti-correlated gamma-ray burst (GRB) data sets recently compiled by Wang et al. and Hu et al., that together probe the redshift range , obey cosmological-model-independent Dainotti correlation relations and so are standardizable. We use these GRB data in conjunction with the best currently-available Amati-correlated GRB data, that probe , to constrain cosmological model parameters. The resulting cosmological constraints are weak, providing lower limits on the non-relativistic matter density parameter, mildly favoring non-zero spatial curvature, and largely consistent with currently accelerated cosmological expansion as well as with constraints determined from better-established data.
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