Testing Dark Energy Models with Gamma-Ray Bursts Calibrated from the Observational $H(z)$ Data through a Gaussian Process

Abstract

We use a cosmology-independent method to calibrate gamma-ray burst (GRB) from the observational Hubble data (OHD) with the cosmic chronometers method. By using Gaussian Process to reconstruct OHD, we calibrate the Amati relation ($E_{\mathrm{p}}$--$E_{\mathrm{iso}}$) to construct a GRB Hubble diagram with the A118 data set, and constrain Dark Energy models in a flat space with the Markov Chain Monte Carlo numerical method. With the cosmology-independent GRBs at $1.4<z\le 8.2$ in the A118 data set and the Pantheon sample of type Ia supernovae (SNe Ia) at $0.01<z\le 2.3$, we obtained ${\Omega }_{\mathrm{m}}$ = $0.379_{-0.024}^{+0.033}$, $h$ = $0.701_{-0.0035}^{+0.0035}$, $w$ = $-1.25_{-0.12}^{+0.14}$, $w_a$ = $-0.84_{-0.38}^{+0.81}$ for the flat Chevallier-Polarski-Linder model at the 1$\sigma$ confidence level. We find no significant evidence supporting deviations from the standard $\Lambda$CDM model.

arXiv comment8 pages, 8 figures, 3 tables, accepted for publication in MNRAS, now matches the editorially revised version

References in corpus (97)

• emcee: The MCMC Hammer
• The Complete Light-curve Sample of Spectroscopically Confirmed Type Ia Supernovae from Pan-STARRS1 and Cosmological Constraints from The Combined Pantheon Sample
• Exploring the Expansion History of the Universe
• Accelerating Universes with Scaling Dark Matter
• Planck 2018 results. I. Overview and the cosmological legacy of Planck
• Constraints on the redshift dependence of the dark energy potential
• Intrinsic spectra and energetics of BeppoSAX Gamma-Ray Bursts with known redshifts
• A 6% measurement of the Hubble parameter at $z\sim 0.45$: direct evidence of the epoch of cosmic re-acceleration
• Cosmic Chronometers: Constraining the Equation of State of Dark Energy. I: H(z) Measurements
• Improved constraints on the expansion rate of the Universe up to z~1.1 from the spectroscopic evolution of cosmic chronometers
• Constraining Cosmological Parameters Based on Relative Galaxy Ages
• 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
• Age-dating Luminous Red Galaxies observed with the Southern African Large Telescope
• Connection Between Energy-dependent Lags And Peak Luminosity In Gamma-ray Bursts
• Constraints on the equation of state of dark energy and the Hubble constant from stellar ages and the CMB
• A Photometric Redshift of z ~ 9.4 for GRB 090429B
• Reconstruction of dark energy and expansion dynamics using Gaussian processes
• Measuring the cosmological parameters with the Ep,i-Eiso correlation of Gamma-Ray Bursts
• Model-Independent Multi-Variable Gamma-Ray Burst Luminosity Indicator and Its Possible Cosmological Implications
• Setting the Stage for Cosmic Chronometers. II. Impact of Stellar Population Synthesis Models Systematics and Full Covariance Matrix
• Correcting Type Ia Supernova Distances for Selection Biases and Contamination in Photometrically Identified Samples
• A Possible Cepheid-Like Luminosity Estimator for the Long Gamma-Ray Bursts
• A time - luminosity correlation for Gamma Ray Bursts in the X - rays
• Toward a Better Understanding of Cosmic Chronometers: A new measurement of H(z) at z~0.7
• Constraining ${\Omega }_M$ and Dark Energy with Gamma-Ray Bursts
• Eppur è piatto? The cosmic chronometer take on spatial curvature and cosmic concordance
• Gamma Ray Bursts: new rulers to measure the Universe
• Cosmology with gamma-ray bursts: I. The Hubble diagram through the calibrated $E_{\mathrm{p},\mathrm{i}}$ - $E_{\mathrm{iso}}$ correlation
• A Cosmology-Independent Calibration of Gamma-Ray Burst Luminosity Relations and the Hubble Diagram
• General Cosmography Model with Spatial Curvature
• Gamma Ray Bursts as standard candles to constrain the cosmological parameters
• Observational Constraints on Cosmological Models with the Updated Long Gamma-Ray Bursts
• Non-parametric spatial curvature inference using late-universe cosmological probes
• Cosmographic analysis with Chebyshev polynomials
• Gamma-Ray Burst Hubble Diagram to z=4.5
• Addressing the circularity problem in the $E_{\text{p}}-E_{\text{iso}}$ correlation of Gamma-Ray Bursts
• Discovery of a tight correlation among the prompt emission properties of long Gamma Ray Bursts
• Using H(z) data as a probe of the concordance model
• An updated Gamma Ray Bursts Hubble diagram
• Cosmology with gamma-ray bursts: II Cosmography challenges and cosmological scenarios for the accelerated Universe
• Model-Independent Distance Measurements from Gamma-Ray Bursts and Constraints on Dark Energy
• Gamma-Ray Bursts in $1.8<z<5.6$ Suggest that the Time Variation of the Dark Energy is Small
• Cosmography by GRBs
• Quantifying the $S_8$ tension with the Redshift Space Distortion data set
• Measuring dark energy with the $E_{\mathrm{iso}}-E_{\mathrm{p}}$ correlation of gamma-ray bursts using model-independent methods
• Measuring cosmological parameters with Gamma-Ray Bursts
• Do gamma-ray burst measurements provide a useful test of cosmological models?
• Optical and X-ray GRB Fundamental Planes as Cosmological Distance Indicators
• Fits, and especially linear fits, with errors on both axes, extra variance of the data points and other complications
• Standardizing Platinum Dainotti-correlated gamma-ray bursts, and using them with standardized Amati-correlated gamma-ray bursts to constrain cosmological model parameters
• Cosmological Models and Gamma-Ray Bursts Calibrated by Using Pade Method
• Constraints on cosmological parameters from gamma-ray burst peak photon energy and bolometric fluence measurements and other data
• Can Gamma-Ray Bursts Be Used to Measure Cosmology? A Further Analysis
• Gamma-ray burst prompt correlations: selection and instrumental effects
• Calibration of Gamma-Ray Burst Luminosity Indicators
• A new method optimized to use Gamma Ray Bursts as cosmic rulers
• Standardizing Dainotti-correlated gamma-ray bursts, and using them with standardized Amati-correlated gamma-ray bursts to constrain cosmological model parameters
• The Gamma-ray Bursts fundamental plane correlation as a cosmological tool
• Standardized long gamma-ray bursts as a cosmic distance indicator
• The Optical Luminosity-Time Correlation for More Than 100 Gamma-Ray Burst Afterglows
• New measurements of ${\Omega }_m$ from gamma-ray bursts
• Measuring cosmological parameters with a luminosity-time correlation of gamma-ray bursts
• Constraining the Cosmological Parameters and Transition Redshift with Gamma-Ray Bursts and Supernovae
• Overcoming the Circular Problem for γ-ray Bursts in Cosmological Global Fitting Analysis
• Model independent calibrations of gamma ray bursts using machine learning
• Constraints on Cosmological Models and Reconstructing the Acceleration History of the Universe with Gamma-Ray Burst Distance Indicators
• Reconstructing the Cosmic Expansion History up to Redshift z=6.29 with the Calibrated Gamma-Ray Bursts
• Kinematic constraints beyond $z\simeq 0$ using calibrated GRB correlations
• The Optical Two and Three-Dimensional Fundamental Plane Correlations for Nearly 180 Gamma-Ray Burst Afterglows with Swift/UVOT, RATIR, and the SUBARU Telescope
• Constraints on the generalized Chaplygin gas model including gamma-ray bursts via a Markov Chain Monte Carlo approach
• Tracing dark energy history with gamma ray bursts
• Hubble diagram at higher redshifts: Model independent calibration of quasars
• Redshifts For 220 BATSE Gamma-Ray Bursts Determined by Variability and the Cosmological Consequences
• X-ray Plateaus in Gamma-Ray Burst Afterglows and Their Application in Cosmology
• Calibrating Gamma-Ray Bursts by Using a Gaussian Process with Type Ia Supernovae
• New constraints on the distance duality relation from the local data
• Gamma ray burst constraints on cosmological models from the improved Amati correlation
• $E_{\mathrm{iso}}$-$E_{\mathrm{p}}$ correlation of gamma ray bursts: calibration and cosmological applications
• Constraints on $w_0$ and $w_a$ of Dark Energy from High Redshift Gamma Ray Bursts
• Cosmological Constraints from calibrated Yonetoku and Amati relation implies Fundamental plane of Gamma-ray bursts
• Standardizing the GRBs with the Amati Ep,i - Eiso relation: the updated Hubble diagram and implications for cosmography
• Measuring the sound horizon and absolute magnitude of SNIa by maximizing the consistency between low-redshift data sets
• Calibration of GRB Luminosity Relations with Cosmography
• Model-independent distance calibration of high-redshift gamma-ray bursts and constrain on the $\Lambda$CDM model
• The improved Amati correlations from Gaussian copula
• Weak gravitational lensing effects on cosmological parameters and dark energy from gamma-ray bursts
• A cosmological independent calibration of the Ep,i-Eiso correlation for Gamma Ray Bursts
• Gamma-ray Burst Luminosity Relations: Two-dimensional versus Three-dimensional Correlations
• Model-independently calibrating the luminosity correlations of gamma-ray bursts using deep learning
• Redshift evolution of the Amati relation: calibrated results from the Hubble diagram of quasars at high redshifts
• High Redshift Long Gamma-Ray Bursts Hubble Diagram as a Test of Basic Cosmological Relations
• Calibration of gamma-ray bursts luminosity correlations using gravitational waves as standard sirens
• Low redshift calibration of the Amati relation using galaxy clusters
• Cosmography by GRBs : Gamma Ray Bursts as possible distance indicators
• A Reliable Calibration of HII Galaxies Hubble Diagram with Cosmic Chronometers and Artificial Neural Network
• Cosmography via Gaussian Process with Gamma Ray Bursts

Cited by in corpus (24)

• Nonparametric late-time expansion history reconstruction and implications for the Hubble tension in light of recent DESI and type Ia supernovae data
• Testing Non-Coincident $f(Q)$-gravity with DESI DR2 BAO and GRBs
• Gamma Rays Bursts: A Viable Cosmological Probe?
• Testing cosmic anisotropy with Pade approximation and Pantheon+ sample
• Constraints on the cosmological parameters with three-parameter correlation of Gamma-ray bursts
• Constraints from Fermi observations of Long Gamma-Ray Bursts on cosmological parameters
• Testing the standardizability of, and deriving cosmological constraints from, a new Amati-correlated gamma-ray burst data compilation
• Constraining the emergent dark energy models with observational data at intermediate redshift
• Standardizing the Gamma-ray burst as a standard candle and applying to the cosmological probes: constraints on the two-component dark energy model
• Data-driven and Almost Model-independent Reconstruction of Modified Gravity
• Review on the minimally extended varying speed of light model
• Cosmological Constraints on the Phenomenological Interacting Dark Energy Model with Fermi Gamma-Ray Bursts and DESI DR2
• Constraints on Cosmological Models with Gamma-Ray Bursts in Cosmology-Independent Way
• Testing the phenomenological interacting dark energy model with gamma-ray bursts and Pantheon+ type Ia supernovae
• Model-independent Gamma-Ray Bursts Constraints on Cosmological Models Using Machine Learning
• Constraints on the minimally extended varying speed of light model using the Pantheon+ dataset
• Investigating the cosmic distance duality relation with gamma-ray bursts
• Gamma-Ray Bursts Calibrated from the Observational $H(z)$ Data in Artificial Neural Network Framework
• Testing the consistency of new Amati-correlated gamma-ray burst dataset cosmological constraints with those from better-established cosmological data
• Gamma-Ray Bursts Calibrated by Using Artificial Neural Networks from the Pantheon+ Sample
• Testing the Cosmic Distance Duality Relation with Neural Kernel Gaussian Process Regression
• Detection of Low-Redshift Excess in Supernova-Linked Gamma-Ray Bursts
• Testing the Distance Duality Relation with Cosmological Observations at high Redshift using Artificial Neural Network
• Results from Hubble parameter data: oscillating dark energy?