Title: Optical and X-ray GRB Fundamental Planes as cosmological distance indicators

Journal Article · · Monthly Notices of the Royal Astronomical Society

ABSTRACT Gamma-ray bursts (GRBs), can be employed as standardized candles, extending the distance ladder beyond Type Ia supernovae (SNe Ia, z = 2.26). We standardize GRBs using the three-dimensional (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 ΩM = 0.299 ± 0.009 assuming a flat Λ cold dark matter (ΛCDM) 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 ΩM 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 stand-alone probes to achieve a comparable precision on ΩM 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 error bars 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 light-curve reconstruction and the estimates of GRB redshifts when z is unknown) compared to the current sample, with error bars 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.

Sponsoring Organization:
USDOE
OSTI ID:
1872491
Journal Information:
Monthly Notices of the Royal Astronomical Society, Journal Name: Monthly Notices of the Royal Astronomical Society Journal Issue: 2 Vol. 514; ISSN 0035-8711
Publisher:
Oxford University PressCopyright Statement
Country of Publication:
United Kingdom
Language:
English

References (123)

Catalog of cosmic gamma-ray bursts from the KONUS experiment data: Parts I and II journal November 1981
Gamma-ray bursts in the Swift era journal July 2007
The THESEUS space mission: science goals, requirements and mission concept journal November 2021
Addressing the cosmological $$H_0$$ tension by the Heisenberg uncertainty journal July 2020
The THESEUS space mission concept: science case, design and expected performances journal July 2018
Gamma-ray bursts and magnetars: Observational signatures and predictions journal September 2015
Gamma Ray Burst afterglow and prompt-afterglow relations: An overview journal April 2017
A cosmographic calibration of the E p,i  –  E iso (Amati) relation for GRBs journal September 2010
Improved cosmological constraints from a joint analysis of the SDSS-II and SNLS supernova samples journal August 2014
Microphysics and dynamics of the gamma-ray burst 121024A journal April 2016
Measuring dark energy with the E iso – E p correlation of gamma-ray bursts using model-independent methods journal December 2015
A study of gamma ray bursts with afterglow plateau phases associated with supernovae journal April 2017
Cosmology with gamma-ray bursts: I. The Hubble diagram through the calibrated E p,i – E iso correlation journal February 2017
Cosmology with gamma-ray bursts: II. Cosmography challenges and cosmological scenarios for the accelerated Universe journal February 2017
Long optical plateau in the afterglow of the short GRB 150424A with extended emission: Evidence for energy injection by a magnetar? journal November 2017
Kinematic constraints beyond z  ≃ 0 using calibrated GRB correlations journal September 2020
TDCOSMO: IV. Hierarchical time-delay cosmography – joint inference of the Hubble constant and galaxy density profiles journal November 2020
Quasars as standard candles: III. Validation of a new sample for cosmological studies journal October 2020
A new measurement of the Hubble constant using Type Ia supernovae calibrated with surface brightness fluctuations journal March 2021
Cosmography by orthogonalized logarithmic polynomials journal May 2021
Intrinsic spectra and energetics of BeppoSAX Gamma–Ray Bursts with known redshifts journal July 2002
Are Swift gamma-ray bursts consistent with the Ghirlanda relation? journal April 2007
Confirming the γ -ray burst spectral-energy correlations in the era of multiple time breaks journal February 2007
Cosmography by gamma ray bursts journal September 2008
BeppoSAX, the wide band mission for X-ray astronomy journal April 1997
Gamma-Ray Bursts as a Probe of Cosmology
  • Lamb, Donald Q.
  • GAMMA-RAY BURST AND AFTERGLOW ASTRONOMY 2001: A Workshop Celebrating the First Year of the HETE Mission, AIP Conference Proceedings https://doi.org/10.1063/1.1579395
conference January 2003
A tight correlation for GRB afterglows with “canonical” light curves conference January 2011
A simple test of independence for truncated data with applications to redshift surveys journal November 1992
Gamma-ray bursts from stellar mass accretion disks around black holes journal March 1993
Identification of two classes of gamma-ray bursts journal August 1993
Collapsars: Gamma‐Ray Bursts and Explosions in “Failed Supernovae” journal October 1999
Are Gamma-Ray Bursts in Star-Forming Regions? journal February 1998
Supernovae, Jets, and Collapsars journal March 2001
The Prompt Energy Release of Gamma-Ray Bursts using a Cosmological [ITAL]k[/ITAL]-Correction journal June 2001
Gamma‐Ray Burst Formation Rate Inferred from the Spectral Peak Energy–Peak Luminosity Relation journal July 2004
The Collimation‐corrected Gamma‐Ray Burst Energies Correlate with the Peak Energy of Their ν F ν Spectrum journal November 2004
Model‐independent Multivariable Gamma‐Ray Burst Luminosity Indicator and Its Possible Cosmological Implications journal November 2005
Physical Processes Shaping Gamma‐Ray Burst X‐Ray Afterglow Light Curves: Theoretical Implications from the Swift X‐Ray Telescope Observations journal May 2006
Short Gamma‐Ray Bursts with Extended Emission journal May 2006
Testing the Standard Fireball Model of Gamma‐Ray Bursts Using Late X‐Ray Afterglows Measured by Swift journal June 2007
emcee : The MCMC Hammer
  • Foreman-Mackey, Daniel; Hogg, David W.; Lang, Dustin
  • Publications of the Astronomical Society of the Pacific, Vol. 125, Issue 925 https://doi.org/10.1086/670067
journal March 2013
TWO SNe Ia AT REDSHIFT ∼2: IMPROVED CLASSIFICATION AND REDSHIFT DETERMINATION WITH MEDIUM-BAND INFRARED IMAGING journal October 2015
DISCERNING THE PHYSICAL ORIGINS OF COSMOLOGICAL GAMMA-RAY BURSTS BASED ON MULTIPLE OBSERVATIONAL CRITERIA: THE CASES OF z = 6.7 GRB 080913, z = 8.2 GRB 090423, AND SOME SHORT/HARD GRBs journal September 2009
Threshold for Extended Emission in Short Gamma-Ray Bursts journal June 2010
STUDY OF POSSIBLE SYSTEMATICS IN THE L * X - T * a CORRELATION OF GAMMA-RAY BURSTS journal March 2011
A PHOTOMETRIC REDSHIFT OF z ∼ 9.4 FOR GRB 090429B journal June 2011
A Significant Problem with Using the Amati Relation for Cosmological Purposes journal February 2012
Short Versus long and Collapsars Versus Non-Collapsars: a Quantitative Classification of Gamma-Ray Bursts journal February 2013
Determination of the Intrinsic Luminosity time Correlation in the X-Ray Afterglows of Gamma-Ray Bursts journal August 2013
NONPARAMETRIC STUDY OF THE EVOLUTION OF THE COSMOLOGICAL EQUATION OF STATE WITH SNeIa, BAO, AND HIGH-REDSHIFT GRBs journal February 2014
Selection Effects in Gamma-Ray Burst Correlations: Consequences on the Ratio Between Gamma-Ray Burst and star Formation Rates journal February 2015
THE MILLISECOND MAGNETAR CENTRAL ENGINE IN SHORT GRBs journal May 2015
Cosmological Evolution of long Gamma-Ray Bursts and the star Formation rate journal June 2015
Constraining the Grb-Magnetar Model by Means of the Galactic Pulsar Population journal November 2015
Supernova Constraints and Systematic Uncertainties from the First Three Years of the Supernova Legacy Survey journal December 2010
EVIDENCE FOR NEW RELATIONS BETWEEN GAMMA-RAY BURST PROMPT AND X-RAY AFTERGLOW EMISSION FROM 9 YEARS OF SWIFT journal November 2013
A Bayesian interpretation of inconsistency measures in cosmology journal May 2021
Cobaya: code for Bayesian analysis of hierarchical physical models journal May 2021
Do gamma-ray burst measurements provide a useful test of cosmological models? journal September 2021
Gamma-ray Burst Prompt Correlations: Selection and Instrumental Effects journal April 2018
A hot Cocoon in the Ultralong grb 130925a: Hints of a Popiii-Like Progenitor in a Low-Density wind Environment journal July 2014
A new Measure of rank Correlation journal June 1938
On a Formula for Correcting Statistics for the Effects of a known Probable Error of Observation journal March 1913
X-ray plateaus in gamma-ray bursts’ light curves from jets viewed slightly off-axis journal January 2020
Constraints on cosmological parameters from gamma-ray burst peak photon energy and bolometric fluence measurements and other data journal September 2020
Measuring cosmological parameters with a luminosity–time correlation of gamma-ray bursts journal July 2021
Standardizing Dainotti-correlated gamma-ray bursts, and using them with standardized Amati-correlated gamma-ray bursts to constrain cosmological model parameters journal December 2021
Do quasar X-ray and UV flux measurements provide a useful test of cosmological models? journal December 2021
Determining the range of validity of quasar X-ray and UV flux measurements for constraining cosmological model parameters journal February 2021
Using Pantheon and DES supernova, baryon acoustic oscillation, and Hubble parameter data to constrain the Hubble constant, dark energy dynamics, and spatial curvature journal April 2021
Standardizing Platinum Dainotti-correlated gamma-ray bursts, and using them with standardized Amati-correlated gamma-ray bursts to constrain cosmological model parameters journal February 2022
Signatures of magnetar central engines in short GRB light curves journal January 2013
Slope evolution of GRB correlations and cosmology journal September 2013
The plateau phase of gamma-ray burst afterglows in the thick-shell scenario journal November 2013
Self-similar relativistic blast waves with energy injection journal July 2014
Constraining properties of GRB magnetar central engines using the observed plateau luminosity and duration correlation journal July 2014
Gamma-ray burst afterglow plateau break time–luminosity correlations favour thick shell models over thin shell models journal October 2014
Broad-band modelling of short gamma-ray bursts with energy injection from magnetar spin-down and its implications for radio detectability journal February 2015
The ‘amplitude’ parameter of gamma-ray bursts and its implications for GRB classification journal June 2014
Luminosity–time and luminosity–luminosity correlations for GRB prompt and afterglow plateau emissions journal June 2015
Exploring the canonical behaviour of long gamma-ray bursts using an intrinsic multiwavelength afterglow correlation journal September 2015
A deceleration search for magnetar pulsations in the X-ray plateaus of short GRBs journal August 2017
Dark Energy Survey Year 1 Results: A Precise H0 Estimate from DES Y1, BAO, and D/H Data journal July 2018
Addressing the circularity problem in the Ep−Eiso correlation of gamma-ray bursts journal April 2019
Closure relations during the plateau emission of Swift GRBs and the fundamental plane journal June 2021
A case of mistaken identity? GRB 060912A and the nature of the long–short GRB divide* journal June 2007
Measuring the cosmological parameters with the E p, i - E iso correlation of gamma-ray bursts journal December 2008
An updated gamma-ray bursts Hubble diagram journal December 2009
Constraining cosmological parameters by gamma-ray burst X-ray afterglow light curves: GRBs afterglow and cosmological parameters journal September 2010
Towards a standard gamma-ray burst: tight correlations between the prompt and the afterglow plateau phase emission: Correlations between prompt and afterglow journal November 2011
High-redshift cosmography: new results and implications for dark energy: High-redshift cosmography and dark energy journal October 2012
Gamma-ray bursts in 1.8 < z < 5.6 suggest that the time variation of the dark energy is small: GRB cosmology journal October 2008
A time-luminosity correlation for γ-ray bursts in the X-rays: GRB time-luminosity correlation in X-ray journal October 2008
Gamma-Ray Burst Prompt Correlations journal January 2018
The Cosmological Constant journal February 2001
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 journal January 2022
Exploring the Behaviour of Long Gamma-Ray Bursts with Intrinsic Afterglow Correlations: log L200s−α>200s journal January 2017
Accounting for Selection Bias and Redshift Evolution in GRB Radio Afterglow Data journal November 2021
Study of grb Light-Curve Decay Indices in the Afterglow Phase journal August 2016
Determining the Hubble Constant from Hubble Parameter Measurements journal January 2017
A Statistical Study of Superluminous Supernovae Using the Magnetar Engine Model and Implications for Their Connection with Gamma-Ray Bursts and Hypernovae journal April 2017
A Study of the Gamma-Ray Burst Fundamental Plane journal October 2017
The Complete Light-curve Sample of Spectroscopically Confirmed SNe Ia from Pan-STARRS1 and Cosmological Constraints from the Combined Pantheon Sample journal May 2018
Gamma-Ray Burst Jet Breaks Revisited journal June 2018
The Three-parameter Correlations About the Optical Plateaus of Gamma-Ray Bursts journal August 2018
On the Magnetar Origin of the GRBs Presenting X-Ray Afterglow Plateaus journal December 2018
A Decade of Gamma-Ray Bursts Observed by Fermi -LAT: The Second GRB Catalog journal June 2019
The Shallow Decay Segment of GRB X-Ray Afterglow Revisited journal September 2019
Spectral Analysis of Fermi -LAT Gamma-Ray Bursts with Known Redshift and their Potential Use as Cosmological Standard Candles journal December 2019
Calibration of the Tip of the Red Giant Branch journal March 2020
On the Investigation of the Closure Relations for Gamma-Ray Bursts Observed by Swift in the Post-plateau Phase and the GRB Fundamental Plane journal October 2020
The X-Ray Fundamental Plane of the Platinum Sample, the Kilonovae, and the SNe Ib/c Associated with GRBs journal November 2020
On the Hubble Constant Tension in the SNe Ia Pantheon Sample journal May 2021
Measurements of the Hubble Constant: Tensions in Perspective* journal September 2021
X-Ray Plateaus in Gamma-Ray Burst Afterglows and Their Application in Cosmology journal October 2021
Standardized Long Gamma-Ray Bursts as a Cosmic Distance Indicator journal January 2022
Examining Two-dimensional Luminosity–Time Correlations for Gamma-Ray Burst Radio Afterglows with VLA and ALMA journal January 2022
Constraining the Type of Central Engine of GRBs with Swift Data journal May 2018
Statistical Study of Gamma-Ray Bursts with a Plateau Phase in the X-Ray Afterglow journal October 2019
On the Existence of the Plateau Emission in High-energy Gamma-Ray Burst Light Curves Observed by Fermi-LAT journal July 2021
A Fundamental Plane for long Gamma-Ray Bursts with X-Ray Plateaus journal July 2016
The Optical Luminosity–Time Correlation for More than 100 Gamma-Ray Burst Afterglows journal December 2020
A Luminous Quasar at Redshift 7.642 journal January 2021

Related Subjects