Reconstructing the Cosmic Expansion History up to Redshift z=6.29 with the Calibrated Gamma-Ray Bursts

Abstract

Recently, Gamma-Ray Bursts (GRBs) were proposed to be a complementary cosmological probe to type Ia supernovae (SNIa). GRBs have been advocated to be standard candles since several empirical GRB luminosity relations were proposed as distance indicators. However, there is a so-called circularity problem in the direct use of GRBs. Recently, a new idea to calibrate GRBs in a completely cosmology independent manner has been proposed, and the circularity problem can be solved. In the present work, following the method proposed by Liang {\it et al.}, we calibrate 70 GRBs with the Amati relation using 307 SNIa. Then, following the method proposed by Shafieloo {\it et al.}, we smoothly reconstruct the cosmic expansion history up to redshift $z=6.29$ with the calibrated GRBs. We find some new features in the reconstructed results.

12 pages, 4 figures, 1 table, revtex4; v2: title changed, accepted by Eur. Phys. J. C; v3: published version

References in corpus (19)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Dynamics of dark energy
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• The Supernova -- Gamma-Ray Burst Connection
• Cosmological Constraints from the SDSS Luminous Red Galaxies
• The Hubble Diagram to Redshift >6 from 69 Gamma-Ray Bursts
• A Complete Catalog of Swift GRB Spectra and Durations: Demise of a Physical Origin for Pre-Swift High-Energy Correlations
• A Cosmology-Independent Calibration of Gamma-Ray Burst Luminosity Relations and the Hubble Diagram
• The oscillating dark energy: future singularity and coincidence problem
• Discovery of a tight correlation among the prompt emission properties of long Gamma Ray Bursts
• Model Independent Reconstruction of the Expansion History of the Universe and the Properties of Dark Energy
• Measuring Dark Energy with Gamma-Ray Bursts and Other Cosmological Probes
• The Hubble diagram extended to z>>1: the gamma-ray properties of GRBs confirm the Lambda-CDM model
• Interacting Energy Components and Observational $H(z)$ Data
• Constraints on Dark Energy Models Including Gamma Ray Bursts
• Gamma-Ray Bursts are Produced Predominately in the Early Universe
• X-ray afterglow light curves : toward standard candle ?
• Probing the cosmic acceleration history and the properties of dark energy from the ESSENCE supernova data with a model independent method
• Cosmology with type-Ia supernovae

Cited by in corpus (25)

• Pilgrim Dark Energy
• Constraints on the generalized Chaplygin gas model including gamma-ray bursts via a Markov Chain Monte Carlo approach
• Calibrating Gamma-Ray Bursts by Using a Gaussian Process with Type Ia Supernovae
• Gamma ray burst constraints on cosmological models from the improved Amati correlation
• Testing Dark Energy Models with Gamma-Ray Bursts Calibrated from the Observational $H(z)$ Data through a Gaussian Process
• Quasi-Rip: A New Type of Rip Model without Cosmic Doomsday
• The improved Amati correlations from Gaussian copula
• Constraints from Fermi observations of Long Gamma-Ray Bursts on cosmological parameters
• Gamma-ray burst cosmology: Hubble diagram and star formation history
• Constraints on Cosmological Models from Quasars Calibrated with Type Ia Supernova by a Gaussian Process
• Evolutions and Calibrations of Long Gamma-Ray Bursts Luminosity Correlations Revisited
• Minimal model dependent constraints on cosmological nuisance parameters and cosmic curvature from combinations of cosmological data
• First cosmological constraints on the Superfluid Chaplygin gas model
• Observational constraints on electromagnetic Born-Infeld cosmology
• Observational constraints from SNe Ia and Gamma-Ray Bursts on a clumpy universe
• Parameter estimation of a nonlinear magnetic universe from observations
• Reconstructing the Hubble diagram of gamma-ray bursts using deep learning
• Constraints on Cosmological Models with Gamma-Ray Bursts in Cosmology-Independent Way
• Observational constraints on the unified dark matter and dark energy model based on the quark bag model
• Model-independent Gamma-Ray Bursts Constraints on Cosmological Models Using Machine Learning
• Fast Radio Bursts as Standard Candles for Cosmology
• Gamma-Ray Bursts Calibrated from the Observational $H(z)$ Data in Artificial Neural Network Framework
• Testing the Consistence of Gamma Ray Burst Data-set and Supernovae Union2
• Gamma-Ray Bursts Calibrated by Using Artificial Neural Networks from the Pantheon+ Sample
• Checking the Empirical Relations with the Current Localized Fast Radio Bursts