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Title: Hubble Parameter and Baryon Acoustic Oscillation Measurement Constraints on the Hubble Constant, the Deviation from the Spatially Flat ΛCDM Model, the Deceleration–Acceleration Transition Redshift, and Spatial Curvature

Journal Article · · The Astrophysical Journal (Online)

We construct a complete collection of reliable Hubble parameter H(z) data to redshift z ≤ 2.36 and use them with the Gaussian Process approach to determine continuous H(z) functions for various data subsets. From these continuous H(z)'s, summarizing across the data subsets considered, we find H 0 ~ 67 ± 4 km s–1 Mpc–1, more consistent with the recent lower values observed using a variety of techniques. In most data subsets, we see a cosmological deceleration–acceleration transition at 2σ significance, with the data subsets transition redshifts varying over $$0.33\lt {z}_{\mathrm{da}}\lt 1.0$$ at 1σ significance. We discover that the flat-ΛCDM model is consistent with the H(z) data to a z of 1.5 to 2.0, depending on data subset considered, with 2σ deviations from flat-ΛCDM above this redshift range. Using the continuous H(z) with baryon acoustic oscillation distance-redshift observations, we constrain the current spatial curvature density parameter to be $${{\rm{\Omega }}}_{K0}=-0.03\pm 0.21$$, consistent with a flat universe, but the large error bar does not rule out small values of spatial curvature that are now under debate.

Research Organization:
Kansas State Univ., Manhattan, KS (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP); National Basic Research Program of China; National Natural Science Foundation of China (NSFC); China Scholarship Council
Grant/Contract Number:
SC0011840
OSTI ID:
1542020
Journal Information:
The Astrophysical Journal (Online), Vol. 856, Issue 1; ISSN 1538-4357
Publisher:
Institute of Physics (IOP)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 156 works
Citation information provided by
Web of Science

References (113)

The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample journal March 2017
The clustering of the SDSS-IV extended Baryon Oscillation Spectroscopic Survey DR14 quasar sample: first measurement of baryon acoustic oscillations between redshift 0.8 and 2.2 journal October 2017
Cosmological implications of baryon acoustic oscillation measurements journal December 2015
Measurement of baryon acoustic oscillation correlations at z  = 2.3 with SDSS DR12 Ly α -Forests journal June 2017
Model-independent reconstruction of the expansion history of the Universe from Type Ia supernovae: Model-independent reconstruction of H(a) journal October 2011
Improved cosmological constraints from a joint analysis of the SDSS-II and SNLS supernova samples journal August 2014
The 6dF Galaxy Survey: baryon acoustic oscillations and the local Hubble constant: 6dFGS: BAOs and the local Hubble constant journal July 2011
The BOSS–WiggleZ overlap region – I. Baryon acoustic oscillations journal November 2015
We do not live in the Rh = ct universe: We do not live in the Rh = ct universe journal August 2012
The WiggleZ Dark Energy Survey: joint measurements of the expansion and growth history at z < 1 : WiggleZ Survey: expansion history journal July 2012
Evidence for a lower value for H0 from cosmic chronometers data? journal April 2014
Null test of the cosmic curvature using H ( z ) and supernovae data journal February 2016
Impact of H 0 prior on the evidence for dark radiation journal August 2012
Cosmographic bounds on the cosmological deceleration-acceleration transition redshift in f ( R ) gravity journal August 2014
Non‐Gaussian Error Distribution of Hubble Constant Measurements
  • Chen, Gang; Gott III, J. Richard; Ratra, Bharat
  • Publications of the Astronomical Society of the Pacific, Vol. 115, Issue 813 https://doi.org/10.1086/379219
journal November 2003
Median Statistics and the Hubble Constant journal September 2011
Determining the Hubble Constant from Hubble Parameter Measurements journal January 2017
Hubble parameter data constraints on dark energy journal September 2011
A General Test of the Copernican Principle journal July 2008
Dynamical dark energy or simply cosmic curvature? journal August 2007
Baryon acoustic oscillations in the Ly α forest of BOSS DR11 quasars journal January 2015
Measuring the Hubble constant with Type Ia supernovae as near-infrared standard candles journal January 2018
Binned Hubble parameter measurements and the cosmological deceleration–acceleration transition journal October 2013
Hubble Parameter Measurement Constraints on the Redshift of the Deceleration–Acceleration Transition, Dynamical dark Energy, and Space Curvature journal January 2017
Hubble Parameter Measurement Constraints on dark Energy journal February 2013
Observational constraints on non-flat dynamical dark energy cosmological models journal April 2015
Hubble Parameter Measurement Constraints on the Cosmological Deceleration-Acceleration Transition Redshift journal March 2013
Quasar-Lyman α forest cross-correlation from BOSS DR11: Baryon Acoustic Oscillations journal May 2014
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
Creation of open universes from de Sitter space journal January 1982
Median Statistics, H 0 , and the Accelerating Universe journal March 2001
The quantum state of the universe journal June 1984
Nonparametric reconstruction of the dark energy equation of state journal November 2010
Nonparametric Dark Energy Reconstruction from Supernova Data journal December 2010
Nonparametric reconstruction of the dark energy equation of state from diverse data sets journal October 2011
Dark energy two decades after: observables, probes, consistency tests journal December 2017
Model-independent test of the FLRW metric, the flatness of the Universe, and non-local estimation of H 0 r d journal January 2017
MODEL-INDEPENDENT DETERMINATION OF CURVATURE PARAMETER USING H ( z ) AND D A ( z ) DATA PAIRS FROM BAO MEASUREMENTS journal June 2014
Model-Independent Estimations for the Curvature from Standard Candles and Clocks journal December 2016
Cosmological discordances. II. Hubble constant, Planck and large-scale-structure data sets journal October 2017
Is there a concordance value for H 0 ? journal November 2016
Everything you always wanted to know about the cosmological constant problem (but were afraid to ask) journal July 2012
The status of varying constants: a review of the physics, searches and implications journal November 2017
An optimal basis system for cosmology: data analysis and new parameterisation journal October 2009
Model-independent determination of the cosmic expansion rate: I. Application to type-Ia supernovae journal February 2008
Nonparametric reconstruction of the cosmic expansion with local regression smoothing and simulation extrapolation journal February 2014
Raising the bar: new constraints on the Hubble parameter with cosmic chronometers at z ∼ 2 journal April 2015
Improved constraints on the expansion rate of the Universe up to z ∼ 1.1 from the spectroscopic evolution of cosmic chronometers journal August 2012
A 6% measurement of the Hubble parameter at z ∼0.45: direct evidence of the epoch of cosmic re-acceleration journal May 2016
Tests of cosmological models constrained by inflation journal September 1984
Cosmology with a time-variable cosmological 'constant' journal February 1988
Planck 2015 results : XIII. Cosmological parameters journal September 2016
Supernova Ia Constraints on a Time‐variable Cosmological “Constant” journal March 2000
Constraining cosmic curvature by using age of galaxies and gravitational lenses journal March 2017
Restoration of spontaneously broken continuous symmetries in de Sitter spacetime journal April 1985
Inflation in a closed universe journal November 2017
Cosmological consequences of a rolling homogeneous scalar field journal June 1988
Cold dark matter cosmogony in an open universe journal September 1994
Inflation in an open universe journal August 1995
The Beginning and Evolution of the Universe journal March 2008
Age-dating luminous red galaxies observed with the Southern African Large Telescope journal February 2017
Constraints to Dark Energy Using PADE Parameterizations journal July 2017
A 2.4% Determination of the Local Value of the Hubble Constant journal July 2016
CONFIRMATION OF A STAR FORMATION BIAS IN TYPE Ia SUPERNOVA DISTANCES AND ITS EFFECT ON THE MEASUREMENT OF THE HUBBLE CONSTANT journal March 2015
The clustering of the SDSS DR7 main Galaxy sample – I. A 4 per cent distance measure at z = 0.15 journal March 2015
Two new diagnostics of dark energy journal November 2008
Cosmological Constraints from Hubble Parameter versus Redshift Data journal September 2006
Curvature versus distances: Testing the FLRW cosmology journal July 2014
Reconstruction of dark energy and expansion dynamics using Gaussian processes journal June 2012
Using H ( z ) data as a probe of the concordance model journal October 2012
What do the cosmological supernova data really tell us? journal December 2015
Gaussian process cosmography journal June 2012
The Atacama Cosmology Telescope: cosmological parameters from three seasons of data journal October 2013
Constraints on the redshift dependence of the dark energy potential journal June 2005
Cosmic chronometers: constraining the equation of state of dark energy. I: H ( z ) measurements journal February 2010
Geometrical constraint on curvature with BAO experiments journal December 2015
Dark energy equation of state parameter and its evolution at low redshift journal June 2017
A general reconstruction of the recent expansion history of the universe journal September 2015
Model-independent determination on H 0 using the latest cosmic chronometer data journal August 2017
Model-independent Constraints on Cosmic Curvature and Opacity journal September 2017
A Measurement of the Hubble Constant Using Galaxy Redshift Surveys journal November 2017
An Improved Method to Measure the Cosmic Curvature journal April 2017
Revisiting Studies of the Statistical Property of a Strong Gravitational lens System and Model-Independent Constraint on the Curvature of the Universe journal January 2017
Null tests of the cosmological constant using supernovae journal January 2014
New Model-Independent Method to test the Curvature of the Universe journal September 2016
Measuring the cosmic proper distance from fast radio bursts journal September 2017
A blinded determination of H0 from low-redshift Type Ia supernovae, calibrated by Cepheid variables journal June 2017
A general reconstruction of the recent expansion history of the universe journal September 2015
Confirmation of a Star Formation Bias in Type Ia Supernova Distances and Its Effect on the Measurement of the Hubble Constant text January 2015
Planck 2015 results : X. Diffuse component separation: Foreground maps journal September 2016
Planck 2015 results : XVI. Isotropy and statistics of the CMB journal September 2016
Planck 2015 results : XXVI. The Second journal September 2016
Model-independent determination of the cosmic expansion rate. I. Application to type-Ia supernovae text January 2007
Two new diagnostics of dark energy text January 2008
Nonparametric Dark Energy Reconstruction from Supernova Data text January 2010
Nonparametric Reconstruction of the Dark Energy Equation of State from Diverse Data Sets text January 2011
Reconstruction of dark energy and expansion dynamics using Gaussian processes text January 2012
Everything You Always Wanted To Know About The Cosmological Constant Problem (But Were Afraid To Ask) text January 2012
The Atacama Cosmology Telescope: Cosmological parameters from three seasons of data text January 2013
Binned Hubble parameter measurements and the cosmological deceleration-acceleration transition text January 2013
Null tests of the cosmological constant using supernovae text January 2013
Planck 2015 results. XIII. Cosmological parameters text January 2015
Raising the bar: new constraints on the Hubble parameter with cosmic chronometers at z$\sim$2 text January 2015
What do the cosmological supernova data really tell us? text January 2015
A 2.4% Determination of the Local Value of the Hubble Constant text January 2016
New Model-independent Method to Test the Curvature of the Universe text January 2016
Hubble parameter measurement constraints on the redshift of the deceleration-acceleration transition, dynamical dark energy, and space curvature text January 2016
Revisiting Studies of the Statistical Property of a Strong Gravitational Lens System and Model-independent Constraint on the Curvature of the Universe text January 2016
Measuring the Hubble constant with Type Ia supernovae as near-infrared standard candles text January 2017
Inflation in a closed universe text January 2017
Measuring the cosmic proper distance from fast radio bursts text January 2017
Cosmological Constraints from Hubble Parameter versus Redshift Data text January 2006
Supernovae Ia Constraints on a Time-Variable Cosmological "Constant" text January 1999

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