Standardizing the Gamma-ray burst as a standard candle and applying to the cosmological probes: constraints on the two-component dark energy model

Abstract

As one of the most energetic and brightest events, gamma-ray bursts (GRBs) have been used as a standard candle for cosmological probe. Based on the relevant features of GRBs light curves, a plateau phase followed a decay phase, we obtain X-ray samples of 31 GRBs and optical samples of 50 GRBs, which are thought to be caused by the same physical mechanism. We standardize GRBs using the two-dimension fundamental plane relation of the rest-frame luminosity of the plateau emission ($L_{b,z}$) and the end time of plateau ($T_{b,z}$) $L_{b,z}-T_{b,z}$, as well as the three-dimension fundamental plane correlation including the peak energy ($E_{p,i}$) $L_{b,z}-T_{b,z}-E_{p,i}$. For the cosmological probes, we consider the $\omega$CDM model in which the dark energy consists of one component, and mainly focus on the $X_1{X}_2$CDM model in which the dark energy is made up of two independent components. We obtain the constraints on the related parameters of the cosmological models using the type Ia supernovae (SNe Ia) data and selected X-ray and optical samples. For the $X_1{X}_2$CDM model, we find that the values of the equations of state parameters of two dark energies, ${\omega }_1$ and ${\omega }_2$, are very close. We also conduct the comparison between the models using the Bayesian information criterion, and find that the $\omega$CDM model is favoured.

13 pages, 8 figures and 3 tables, accepted for publication in Astronomy & Astrophysics

References in corpus (38)

• Dynamics of dark energy
• Dark Energy and the Accelerating Universe
• Raising the bar: new constraints on the Hubble parameter with cosmic chronometers at z$\sim$2
• The Physics of Gamma-Ray Bursts and Relativistic Jets
• Baryon Acoustic Oscillations in the Lyα forest of BOSS DR11 quasars
• The Hubble Diagram to Redshift >6 from 69 Gamma-Ray Bursts
• Dark Energy and Dark Gravity
• A Comprehensive Analysis of the Swift/XRT Data: II. Diverse Physical Origins of the Shallow Decay Segment
• A time - luminosity correlation for Gamma Ray Bursts in the X - rays
• A Cosmology-Independent Calibration of Gamma-Ray Burst Luminosity Relations and the Hubble Diagram
• The X-ray afterglow flat segment in short GRB 051221A: Energy injection from a millisecond magnetar?
• The Ep,i - Eiso correlation: type I gamma-ray bursts and the new classification method
• Gamma-ray Burst Cosmology
• Gamma-Ray Bursts in $1.8<z<5.6$ Suggest that the Time Variation of the Dark Energy is Small
• Standardizing Platinum Dainotti-correlated gamma-ray bursts, and using them with standardized Amati-correlated gamma-ray bursts to constrain cosmological model parameters
• Study of possible systematics in the L*X - Ta* correlation of Gamma Ray Bursts
• The Gamma-ray Bursts fundamental plane correlation as a cosmological tool
• Measuring cosmological parameters with a luminosity-time correlation of gamma-ray bursts
• Tracing dark energy history with gamma ray bursts
• Gamma-ray burst data strongly favor the three-parameter fundamental plane (Dainotti) correlation relation over the two-parameter one
• High-redshift cosmography: Application and comparison with different methods
• 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
• $E_{\mathrm{iso}}$-$E_{\mathrm{p}}$ correlation of gamma ray bursts: calibration and cosmological applications
• Statistical study of gamma-ray bursts with jet break feature in multi-wavelength afterglow emissions
• An Effective Sign Switching Dark Energy: Lotka-Volterra Model of Two Interacting Fluids
• The Bright Reverse Shock Emission in the Optical Afterglows of Gamma-ray Bursts in a Stratified Medium
• Constraints on the Bulk Lorentz Factors of GRB X-Ray Flares
• Two Component Model of Dark Energy
• Revisiting the luminosity and redshift distributions of long gamma-ray bursts
• Pseudo Redshifts of Gamma-Ray Bursts Derived from the L-T-E Correlation
• Calibration of gamma-ray bursts luminosity correlations using gravitational waves as standard sirens
• Constraints on the cosmological parameters with three-parameter correlation of Gamma-ray bursts
• Gamma-ray burst cosmology: Hubble diagram and star formation history
• Testing Blandford-Znajek mechanism in black hole hyperaccretion flows for long-duration gamma-ray bursts
• Evidence for self-organized criticality phenomena in prompt phase of short gamma-ray bursts
• Constraining Properties of GRB Central Engines with X-ray flares

Cited by in corpus (5)

• Gamma-Ray Bursts Calibrated from the Observational $H(z)$ Data in Artificial Neural Network Framework
• Scanning the Universe for Large-Scale Structures using Gamma-Ray Bursts
• 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
• Spectral Hardness as the Primary Discriminator: Unveiling the Collapsar--Merger Boundary with a Gold-Standard Gamma-Ray Burst Sample