Optical and X-ray GRB Fundamental Planes as Cosmological Distance Indicators

Abstract

Gamma-Ray Bursts (GRBs), can be employed as standardized candles, extending the distance ladder beyond Supernovae Type Ia (SNe Ia, $z=2.26$). We standardize GRBs using the 3D fundamental plane relation (the Dainotti relation) among the rest-frame end time of the X-ray plateau emission, its corresponding luminosity, and the peak prompt luminosity. Combining SNe Ia and GRBs, we constrain ${\Omega }_{\text{M}}=0.299\pm 0.009$ assuming a flat $\Lambda$CDM cosmology with and without correcting GRBs for selection biases and redshift evolution. Using a 3D optical Dainotti correlation, we find this sample is as efficacious in the determination of ${\Omega }_{\text{M}}$ as the X-ray sample. We trimmed our GRB samples to achieve tighter planes to simulate additional GRBs. We determined how many GRBs are needed as standalone probes to achieve a comparable precision on ${\Omega }_{\text{M}}$ to the one obtained by SNe Ia only. We reach the same error measurements derived using SNe Ia in 2011 and 2014 with 142 and 284 simulated optical GRBs, respectively, considering the errorbars on the variables halved. These error limits will be reached in 2038 and in 2047, respectively. Using a doubled sample (obtained by future machine learning approaches allowing a lightcurve reconstruction and the estimates of GRB redhifts when z is unknown) compared to the current sample, with errorbars halved we will reach the same precision as SNe Ia in 2011 and 2014, now and in 2026, respectively. If we consider the current SNe precision, this will be reached with 390 optical GRBs by 2054.

arXiv comment31 pages, 17 figures, 10 tables

References in corpus (109)

• 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
• The Cosmological Constant
• Collapsars - Gamma-Ray Bursts and Explosions in "Failed Supernovae"
• Improved cosmological constraints from a joint analysis of the SDSS-II and SNLS supernova samples
• Intrinsic spectra and energetics of BeppoSAX Gamma-Ray Bursts with known redshifts
• Are Gamma-Ray Bursts in Star Forming Regions?
• Physical processes shaping GRB X-ray afterglow lightcurves: theoretical implications from the Swift XRT observations
• Supernova Constraints and Systematic Uncertainties from the First 3 Years of the Supernova Legacy Survey
• Supernovae, Jets, and Collapsars
• GRB Formation Rates inferred from the Spectral Peak Energy - Luminosity Relation
• Cobaya: Code for Bayesian Analysis of hierarchical physical models
• The collimation--corrected GRB energies correlate with the peak energy of their $\nu F_{\nu }$ spectrum
• Measurements of the Hubble Constant: Tensions in Perspective
• Signatures of magnetar central engines in short GRB lightcurves
• A Photometric Redshift of z ~ 9.4 for GRB 090429B
• Short Gamma-Ray Bursts with Extended Emission
• A Luminous Quasar at Redshift 7.642
• Discerning the physical origins of cosmological Gamma-ray bursts based on multiple observational criteria: the cases of z=6.7 GRB 080913, z=8.3 GRB 090423, and some short/hard GRBs
• Calibration of the Tip of the Red Giant Branch (TRGB)
• On the Hubble constant tension in the SNe Ia Pantheon sample
• Measuring the cosmological parameters with the Ep,i-Eiso correlation of Gamma-Ray Bursts
• TDCOSMO IV: Hierarchical time-delay cosmography -- joint inference of the Hubble constant and galaxy density profiles
• The prompt energy release of gamma-ray bursts using a cosmological k-correction
• Testing the standard fireball model of GRBs using late X-ray afterglows measured by Swift
• Model-Independent Multi-Variable Gamma-Ray Burst Luminosity Indicator and Its Possible Cosmological Implications
• Dark Energy Survey Year 1 Results: A Precise H0 Measurement from DES Y1, BAO, and D/H Data
• The Millisecond Magnetar Central Engine in short GRBs
• A decade of Gamma-Ray Bursts observed by $Fermi$-LAT: The 2${}^{nd}$ GRB catalog
• Short vs Long and Collapsars vs. non-Collapsar: a quantitative classification of GRBs
• On the evolution of the Hubble constant with the SNe Ia Pantheon Sample and Baryon Acoustic Oscillations: a feasibility study for GRB-cosmology in 2030
• A time - luminosity correlation for Gamma Ray Bursts in the X - rays
• The THESEUS space mission concept: science case, design and expected performances
• Cosmology with gamma-ray bursts: I. The Hubble diagram through the calibrated $E_{\mathrm{p},\mathrm{i}}$ - $E_{\mathrm{iso}}$ correlation
• Quasars as standard candles III. Validation of a new sample for cosmological studies
• Constraining properties of GRB magnetar central engines using the observed plateau luminosity and duration correlation
• Threshold for Extended Emission in Short Gamma-Ray Bursts
• Determination of the intrinsic Luminosity Time Correlation in the X-ray Afterglows of GRBs
• Determining the Hubble constant from Hubble parameter measurements
• A new measurement of the Hubble constant using Type Ia supernovae calibrated with surface brightness fluctuations
• Addressing the circularity problem in the $E_{\text{p}}-E_{\text{iso}}$ correlation of Gamma-Ray Bursts
• A fundamental plane for long gamma-ray bursts with X-ray plateaus
• An updated Gamma Ray Bursts Hubble diagram
• 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
• Statistical Study of Gamma-Ray Bursts with a Plateau Phase in the X-ray Afterglow
• On the magnetar origin of the GRBs presenting X-ray afterglow plateaus
• Cosmography by GRBs
• Gamma-Ray Bursts in $1.8<z<5.6$ Suggest that the Time Variation of the Dark Energy is Small
• Gamma-ray burst jet breaks revisited
• The X-ray fundamental plane of the Platinum Sample, the Kilonovae and the SNe Ib/c associated with GRBs
• 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
• Confirming the gamma-ray burst spectral-energy correlations in the era of multiple time breaks
• Do gamma-ray burst measurements provide a useful test of cosmological models?
• Cosmological Evolution of Long Gamma-ray Bursts and Star Formation Rate
• Luminosity--time and luminosity--luminosity correlations for GRB prompt and afterglow plateau emissions
• X-ray Plateaus in Gamma Ray Bursts' light-curves from jets viewed slightly off-axis
• A study of gamma ray bursts with afterglow plateau phases associated with supernovae
• Determining the range of validity of quasar X-ray and UV flux measurements for constraining cosmological model parameters
• Constraining the GRB-magnetar model by means of the Galactic pulsar population
• A Study of the Gamma-Ray Burst Fundamental Plane
• Toward a standard Gamma Ray Burst: tight correlations between the prompt and the afterglow plateau phase emission
• 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
• Constraining the Type of Central Engine of GRBs with Swift Data
• Constraints on cosmological parameters from gamma-ray burst peak photon energy and bolometric fluence measurements and other data
• A statistical study of super-luminous supernovae in the magnetar engine model and implications for their connection with gamma-ray bursts and hypernovae
• Gamma-ray burst prompt correlations: selection and instrumental effects
• Constraining cosmological parameters by Gamma Ray Burst X - ray afterglow lightcurves
• Standardizing Dainotti-correlated gamma-ray bursts, and using them with standardized Amati-correlated gamma-ray bursts to constrain cosmological model parameters
• A hot cocoon in the ultralong GRB 130925A: hints of a PopIII-like progenitor in a low density wind environment
• Gamma Ray Burst afterglow and prompt-afterglow relations: an overview
• The "amplitude" parameter of Gamma-Ray Bursts and its implications for GRB classification
• Non-parametric study of the evolution of the cosmological equation of state with SNeIa, BAO and high redshift GRBs
• Standardized long gamma-ray bursts as a cosmic distance indicator
• The Optical Luminosity-Time Correlation for More Than 100 Gamma-Ray Burst Afterglows
• Selection effects in Gamma Ray Bursts correlations: consequences on the ratio between GRB and star formation rates
• Spectral analysis of Fermi-LAT gamma-ray bursts with known redshift and their potential use as cosmological standard candles
• Do quasar X-ray and UV flux measurements provide a useful test of cosmological models?
• Addressing the cosmological $H_0$ tension by the Heisenberg uncertainty
• Measuring cosmological parameters with a luminosity-time correlation of gamma-ray bursts
• A case of mistaken identity? GRB 060912A and the nature of the long -- short GRB divide
• On the investigation of the closure relations for Gamma-Ray Bursts observed by Swift in the post-plateau phase and the GRB fundamental plane
• Gamma Ray Burst Prompt correlations
• Kinematic constraints beyond $z\simeq 0$ using calibrated GRB correlations
• High redshift cosmography: new results and implication for dark energy
• Self-similar relativistic blast waves with energy injection
• Cosmography by orthogonalized logarithmic polynomials
• On the Existence of the Plateau Emission in High-Energy Gamma-Ray Burst LightCurves observed byFermi-LAT
• The shallow decay segment of GRB X-ray afterglow revisited
• A Significant Problem With Using the Amati Relation for Cosmological Purposes
• A Bayesian interpretation of inconsistency measures in cosmology
• X-ray Plateaus in Gamma-Ray Burst Afterglows and Their Application in Cosmology
• Examining Two-Dimensional Luminosity-time Correlations for Gamma Ray Burst Radio Afterglows with VLA and ALMA
• The three-parameter correlations about optical plateaus of gamma-ray bursts
• Broadband modelling of short gamma-ray bursts with energy injection from magnetar spin-down and its implications for radio detectability
• Closure relations during the plateau emission of Swift GRBs and the fundamental plane
• A long optical plateau in the afterglow of the Extended Emission short GRB 150424A: Evidence for energy injection by a magnetar?
• Gamma-ray burst afterglow plateau break time - luminosity correlations favour thick shell models over thin shell models
• Evidence for New Relations between Gamma Ray Burst Prompt and X-ray Afterglow Emission from 9 Years of Swift
• Study of GRB light curve decay indices in the afterglow phase
• Are Swift gamma-ray bursts consistent with the Ghirlanda relation?
• A cosmological independent calibration of the Ep,i-Eiso correlation for Gamma Ray Bursts
• Accounting for Selection Bias and Redshift Evolution in GRB Radio Afterglow Data
• Exploring the canonical behaviour of long gamma-ray bursts using an intrinsic multi-wavelength afterglow correlation
• Microphysics and dynamics of the Gamma-Ray Burst 121024A
• A deceleration search for magnetar pulsations in the X-ray plateaus of Short GRBs
• Gamma-Ray Bursts as a Probe of Cosmology

Cited by in corpus (12)

• Evidence of a decreasing trend for the Hubble constant
• Gamma-ray burst data strongly favor the three-parameter fundamental plane (Dainotti) correlation relation over the two-parameter one
• Calibrating Gamma-Ray Bursts by Using a Gaussian Process with Type Ia Supernovae
• Testing Dark Energy Models with Gamma-Ray Bursts Calibrated from the Observational $H(z)$ Data through a Gaussian Process
• Standardizing reverberation-measured C IV time-lag quasars, and using them with standardized Mg II quasars to constrain cosmological parameters
• Quasar UV/X-ray relation luminosity distances are shorter than reverberation-measured radius-luminosity relation luminosity distances
• Current data are consistent with flat spatial hypersurfaces in the $\Lambda$CDM cosmological model but favor more lensing than the model predicts
• Consistency study of high- and low-accreting Mg ii quasars: No significant effect of the Fe ii to Mg ii flux ratio on the radius-luminosity relation dispersion
• Pseudo Redshifts of Gamma-Ray Bursts Derived from the L-T-E Correlation
• Gamma Rays Bursts: A Viable Cosmological Probe?
• Radio-bright vs. Radio-dark Gamma-ray Bursts -- More Evidence for Distinct Progenitors
• Tilted non-spatially-flat inflation