Determination of Cosmological Parameters from Gamma Ray Burst Characteristics and Afterglow Correlations

Abstract

We use the correlation relation between the energy emitted by the GRBs in their prompt phases and the X-ray afterglow fluxes, in an effort to constrain cosmological parameters and aiming to construct a Hubble diagram at high redshifts, i.e. beyond those found with Type Ia supernovae. We use a sample of 126 \textit{Swift} GRBs, that we have selected among more than 800 long bursts observed until April 2015. The selection is based on a few observational constraints: GRB flux higher than 0.4 $photons/c{m}^2/s$ in the band 15-150 keV, spectrum fitted with simple power law, redshift accurately known and given, and X-ray afterglow observed and flux measured. The statistical method of maximum likelihood is then used to determine the best cosmological parameters (${\Omega }_M$, ${\Omega }_{\Lambda }$) that give the best correlation for two relations: a) the Amati relation (between intrinsic spectral peak energy $E_{p,i}$ and the equivalent isotropic energy), b) the Dainotti relation, namely between the X-ray afterglow luminosity $L_X$ and the break time $T_a$, which is observed in the X-ray flux FX. Although the number of GRBs with high redshifts is rather small, and despite the notable dispersion found in the data, the results we have obtained are quite encouraging and promising. The results obtained using the Amati relation are close to those obtained using the Type Ia supernovae, and they appear to indicate a universe dominated by dark energy. However, those obtained with the correlation between the break time and the X-ray afterglow luminosity is consistent with the findings of the WMAP study of the cosmic microwave background radiation, and they seem to indicate a de Sitter-Einstein universe dominated by matter.

References in corpus (57)

• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• Methods and results of an automatic analysis of a complete sample of Swift-XRT observations of GRBs
• On the normalisation of the cosmic star formation history
• Intrinsic spectra and energetics of BeppoSAX Gamma-Ray Bursts with known redshifts
• GRB Formation Rates inferred from the Spectral Peak Energy - Luminosity Relation
• The collimation--corrected GRB energies correlate with the peak energy of their $\nu F_{\nu }$ spectrum
• Connection Between Energy-dependent Lags And Peak Luminosity In Gamma-ray Bursts
• The Ep,i - Eiso correlation in GRBs: updated observational status, re-analysis and main implications
• Measuring the cosmological parameters with the Ep,i-Eiso correlation of Gamma-Ray Bursts
• The Hubble Diagram to Redshift >6 from 69 Gamma-Ray Bursts
• On the Association of Gamma-ray Bursts with Massive Stars: Implications for Number Counts and Lensing Statistics
• Testing the standard fireball model of GRBs using late X-ray afterglows measured by Swift
• A mean redshift of 2.8 for Swift gamma-ray bursts
• Model-Independent Multi-Variable Gamma-Ray Burst Luminosity Indicator and Its Possible Cosmological Implications
• The Second Swift BAT Gamma-Ray Burst Catalog
• A time - luminosity correlation for Gamma Ray Bursts in the X - rays
• Constraining ${\Omega }_M$ and Dark Energy with Gamma-Ray Bursts
• Gamma Ray Bursts: new rulers to measure the Universe
• Cosmological Gamma-Ray Bursts and Evolution of Galaxies
• Extremely energetic Fermi Gamma-Ray Bursts obey spectral energy correlations
• The prompt-afterglow connection in Gamma-Ray Bursts: a comprehensive statistical analysis of Swift X-ray light-curves
• Outliers to the Isotropic Energy - Peak Energy Relation in GRBs
• Discovery of a tight correlation for gamma ray burst afterglows with `canonical' light curves
• An Unexpectedly Swift Rise in the Gamma-ray Burst Rate
• Gamma-Ray Burst Hubble Diagram to z=4.5
• Determination of the intrinsic Luminosity Time Correlation in the X-ray Afterglows of GRBs
• Gamma-ray Burst Cosmology
• Spectral-Luminosity relation within individual Fermi GRBs
• An updated Gamma Ray Bursts Hubble diagram
• Gamma-Ray Bursts in $1.8<z<5.6$ Suggest that the Time Variation of the Dark Energy is Small
• Measuring dark energy with the $E_{\mathrm{iso}}-E_{\mathrm{p}}$ correlation of gamma-ray bursts using model-independent methods
• Slope evolution of GRB correlations and cosmology
• Measuring cosmological parameters with Gamma-Ray Bursts
• Cosmological Evolution of Long Gamma-ray Bursts and Star Formation Rate
• Luminosity--time and luminosity--luminosity correlations for GRB prompt and afterglow plateau emissions
• Toward a standard Gamma Ray Burst: tight correlations between the prompt and the afterglow plateau phase emission
• The Gamma-Ray Burst Hubble Diagram and Its Cosmological Implications
• The redshift distribution of gamma-ray bursts revisited
• Can Gamma-Ray Bursts Be Used to Measure Cosmology? A Further Analysis
• Constraining cosmological parameters by Gamma Ray Burst X - ray afterglow lightcurves
• A complete sample of bright Swift Gamma-Ray Bursts: X-ray afterglow luminosity and its correlation with the prompt emission
• Enhanced Cosmological GRB Rates and Implications for Cosmogenic Neutrinos
• Selection effects in Gamma Ray Bursts correlations: consequences on the ratio between GRB and star formation rates
• The Redshift of the Lensed Object in the Einstein Ring B0218+357
• Accessing the population of high redshift Gamma Ray Bursts
• The low-luminosity tail of the GRB distribution: the case of GRB 980425
• Cosmological constraints with GRBs: homogeneous medium vs wind density profile
• Gamma-ray burst afterglow plateau break time - luminosity correlations favour thick shell models over thin shell models
• Open issues with the gamma-ray burst redshift distribution
• Luminosity correlations for gamma-ray bursts and implications for their prompt and afterglow emission mechanisms
• Intrinsic spectra and energetics of cosmological Gamma-Ray Bursts
• Revisiting the Amati and Yonetoku Correlations with Swift GRBs
• Spitzer Mid-Infrared Spectroscopy of 70um-Selected Distant Luminous Infrared Galaxies
• A Theoretical Investigation on the Gamma-ray Burst Host Galaxies
• Update on the GRB universal scaling E${}_{\mathrm{X},\mathrm{iso}}$-E${}_{\gamma ,\mathrm{iso}}$-E${}_{\mathrm{pk}}$ with ten years of $Swift$ data
• Systematics in the Gamma Ray Bursts Hubble diagram
• High-Energy Cosmology: gamma rays and neutrinos from beyond the galaxy

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• Holographic Principle and the Second Law in Stephani Cosmology Revisited