Intermediate redshift calibration of Gamma-ray Bursts and cosmic constraints in non-flat cosmology

Abstract

We propose how to calibrate long gamma-ray burst (GRB) correlations employing intermediate redshift data sets, instead of limiting to $z\simeq 0$ catalogs. To do so, we examine the most updated observational Hubble data (OHD) and baryonic acoustic oscillations (BAO). We exploit the model-independent technique of Bézier polynomial interpolation, alleviating de facto the well-known circularity problem affecting GRB correlations. To get constraints on cosmic parameters, using Markov chain Monte Carlo Metropolis algorithm, we distinguish the influence on BAO scale, $r_{\mathrm{s}}$, Hubble constant $H_0$, luminosity distance $D_{\mathrm{L}}(z)$ and spatial curvature ${\Omega }_k$. Inspired by the fact that a few 0.4$\%$ error on $r_{\mathrm{s}}$ is got from Planck results, utterly small compared with current BAO measurement errors, we discern two main cases, namely $(r_{\mathrm{s}}/r_{\mathrm{s}}^{\mathrm{fid}})=1$ and $(r_{\mathrm{s}}/r_{\mathrm{s}}^{\mathrm{fid}})\ne 1$. For each occurrence, we first fix and then leave free the Universe's spatial curvature. In all our treatments, we make use of the well-consolidated \textit{Amati} correlation, furnishing tighter constraints on the mass density than previous literature. In particular, our findings turn out to be highly more compatible with those got, adopting the $\Lambda$CDM paradigm, with standard candle indicators. Finally, we critically re-examine the recent $H_0$ tension in view of our outcomes.

8 pages, 4 figures, 3 tables

References in corpus (21)

• In the Realm of the Hubble tension $-$ a Review of Solutions
• Challenges for $\Lambda$CDM: An update
• The Hubble Diagram to Redshift >6 from 69 Gamma-Ray Bursts
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Baryon acoustic oscillations with Lyman-$\alpha$ forests
• Extended Gravity Cosmography
• A time - luminosity correlation for Gamma Ray Bursts in the X - rays
• Cosmology with gamma-ray bursts: I. The Hubble diagram through the calibrated $E_{\mathrm{p},\mathrm{i}}$ - $E_{\mathrm{iso}}$ correlation
• Using Pantheon and DES supernova, baryon acoustic oscillation, and Hubble parameter data to constrain the Hubble constant, dark energy dynamics, and spatial curvature
• Cosmology with gamma-ray bursts: II Cosmography challenges and cosmological scenarios for the accelerated Universe
• On Larger $H_0$ Values in the CMB Dipole Direction
• Do gamma-ray burst measurements provide a useful test of cosmological models?
• Standardizing Platinum Dainotti-correlated gamma-ray bursts, and using them with standardized Amati-correlated gamma-ray bursts to constrain cosmological model parameters
• The SVOM Mission
• Healing the cosmological constant problem during inflation through a unified quasi-quintessence matter field
• Standardized long gamma-ray bursts as a cosmic distance indicator
• Spectral analysis of Fermi-LAT gamma-ray bursts with known redshift and their potential use as cosmological standard candles
• Model independent calibrations of gamma ray bursts using machine learning
• Tracing dark energy history with gamma ray bursts
• Gamma ray burst constraints on cosmological models from the improved Amati correlation
• Redshift evolution of the Amati relation: calibrated results from the Hubble diagram of quasars at high redshifts
• Gamma Ray Burst studies with THESEUS