Intermediate redshift calibration of gamma-ray bursts and cosmic constraints in non-flat cosmology

We propose a new method to calibrate gamma-ray burst (GRB) correlations employing intermediate redshift data sets, instead of limiting to z ? 0 catalogues, and applied it to the well-consolidated Amati correlation. This model-independent calibration technique is based on the Bezier polynomial interpolation of the most updated observational Hubble data and baryonic acoustic oscillations (BAO) and alleviates de facto the well-known circularity problem affecting GRB correlations. In doing so, we also investigate the influence of the BAO scales r(s), got from Planck results, and r(s)(fid), got from the considered fiducial cosmology, by considering the cases (r(s)/r(s)(fid)) and (r(s)/r(s)(fid)) &NOTEQUexpressionL; 1 We get constraints on the cosmic parameters, using Markov chain-Monte Carlo simulations, first fixing and then leaving free the spatial curvature density parameter omega(k). Compared to previous literature, we obtain tighter constraints on the mass density parameter omega(m). In particular, our findings turn out to be highly more compatible with those got from standard candle indicators within the Lambda cold dark matter paradigm. Finally, we critically re-examine the recent H-0 tension in view of our outcomes.

Automated summary

We propose a new method to calibrate gamma-ray burst (GRB) correlations using intermediate redshift data sets. This model-independent calibration technique is based on the interpolation of observational Hubble data and baryonic acoustic oscillations (BAO), effectively addressing the circularity problem affecting GRB correlations. Our findings provide tighter constraints on the mass density parameter omega(m) and are highly compatible with those obtained from standard candle indicators within the Lambda cold dark matter paradigm. Furthermore, we critically re-examine the recent H-0 tension in view of our outcomes.