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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

Abstract

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.

Authors:
ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [3]
  1. Nanjing Univ. (China); Kansas State Univ., Manhattan, KS (United States)
  2. Kansas State Univ., Manhattan, KS (United States)
  3. Nanjing Univ. (China)
Publication Date:
Research Org.:
Kansas State Univ., Manhattan, KS (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); National Basic Research Program of China; National Natural Science Foundation of China (NNSFC); China Scholarship Council
OSTI Identifier:
1542020
Grant/Contract Number:  
SC0011840
Resource Type:
Accepted Manuscript
Journal Name:
The Astrophysical Journal (Online)
Additional Journal Information:
Journal Name: The Astrophysical Journal (Online); Journal Volume: 856; Journal Issue: 1; Journal ID: ISSN 1538-4357
Publisher:
Institute of Physics (IOP)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; cosmological parameters; cosmology: observations; large-scale structure of universe

Citation Formats

Yu, Hai, Ratra, Bharat, and Wang, Fa-Yin. 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. United States: N. p., 2018. Web. doi:10.3847/1538-4357/aab0a2.
Yu, Hai, Ratra, Bharat, & Wang, Fa-Yin. 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. United States. doi:10.3847/1538-4357/aab0a2.
Yu, Hai, Ratra, Bharat, and Wang, Fa-Yin. Tue . "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". United States. doi:10.3847/1538-4357/aab0a2. https://www.osti.gov/servlets/purl/1542020.
@article{osti_1542020,
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},
author = {Yu, Hai and Ratra, Bharat and Wang, Fa-Yin},
abstractNote = {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.},
doi = {10.3847/1538-4357/aab0a2},
journal = {The Astrophysical Journal (Online)},
number = 1,
volume = 856,
place = {United States},
year = {2018},
month = {3}
}

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Cited by: 35 works
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    Binned Hubble parameter measurements and the cosmological deceleration–acceleration transition
    journal, October 2013


    The Beginning and Evolution of the Universe
    journal, March 2008

    • Ratra, Bharat; Vogeley, Michael S.
    • Publications of the Astronomical Society of the Pacific, Vol. 120, Issue 865
    • DOI: 10.1086/529495

    Model-independent determination of the cosmic expansion rate: I. Application to type-Ia supernovae
    journal, February 2008


    Model-independent test of the FLRW metric, the flatness of the Universe, and non-local estimation of H 0 r d
    journal, January 2017


    Observational constraints on non-flat dynamical dark energy cosmological models
    journal, April 2015


    Constraining cosmic curvature by using age of galaxies and gravitational lenses
    journal, March 2017

    • Rana, Akshay; Jain, Deepak; Mahajan, Shobhit
    • Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 03
    • DOI: 10.1088/1475-7516/2017/03/028

    The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
    journal, March 2017

    • Alam, Shadab; Ata, Metin; Bailey, Stephen
    • Monthly Notices of the Royal Astronomical Society, Vol. 470, Issue 3
    • DOI: 10.1093/mnras/stx721

    Reconstruction of dark energy and expansion dynamics using Gaussian processes
    journal, June 2012

    • Seikel, Marina; Clarkson, Chris; Smith, Mathew
    • Journal of Cosmology and Astroparticle Physics, Vol. 2012, Issue 06
    • DOI: 10.1088/1475-7516/2012/06/036

    Hubble parameter data constraints on dark energy
    journal, September 2011


    Evidence for a lower value for H0 from cosmic chronometers data?
    journal, April 2014

    • Busti, Vinicius C.; Clarkson, Chris; Seikel, Marina
    • Monthly Notices of the Royal Astronomical Society: Letters, Vol. 441, Issue 1
    • DOI: 10.1093/mnrasl/slu035

    Is there a concordance value for H 0 ?
    journal, November 2016


    Improved constraints on the expansion rate of the Universe up to z ∼ 1.1 from the spectroscopic evolution of cosmic chronometers
    journal, August 2012


    Quasar-Lyman α forest cross-correlation from BOSS DR11: Baryon Acoustic Oscillations
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    • Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 05
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    • DOI: 10.1093/mnrasl/slv037

    A 6% measurement of the Hubble parameter at z ∼0.45: direct evidence of the epoch of cosmic re-acceleration
    journal, May 2016

    • Moresco, Michele; Pozzetti, Lucia; Cimatti, Andrea
    • Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 05
    • DOI: 10.1088/1475-7516/2016/05/014

    Non‐Gaussian Error Distribution of Hubble Constant Measurements
    journal, November 2003

    • Chen, Gang; Gott III, J. Richard; Ratra, Bharat
    • Publications of the Astronomical Society of the Pacific, Vol. 115, Issue 813
    • DOI: 10.1086/379219

    An Improved Method to Measure the Cosmic Curvature
    journal, April 2017


    Cosmology with a time-variable cosmological 'constant'
    journal, February 1988

    • Peebles, P. J. E.; Ratra, Bharat
    • The Astrophysical Journal, Vol. 325
    • DOI: 10.1086/185100

    A Measurement of the Hubble Constant Using Galaxy Redshift Surveys
    journal, November 2017


    Cosmological Constraints from Hubble Parameter versus Redshift Data
    journal, September 2006

    • Samushia, Lado; Ratra, Bharat
    • The Astrophysical Journal, Vol. 650, Issue 1
    • DOI: 10.1086/508662

    A blinded determination of H0 from low-redshift Type Ia supernovae, calibrated by Cepheid variables
    journal, June 2017

    • Zhang, Bonnie R.; Childress, Michael J.; Davis, Tamara M.
    • Monthly Notices of the Royal Astronomical Society, Vol. 471, Issue 2
    • DOI: 10.1093/mnras/stx1600

    Improved cosmological constraints from a joint analysis of the SDSS-II and SNLS supernova samples
    journal, August 2014


    Model-Independent Estimations for the Curvature from Standard Candles and Clocks
    journal, December 2016


    Age-dating luminous red galaxies observed with the Southern African Large Telescope
    journal, February 2017

    • Ratsimbazafy, A. L.; Loubser, S. I.; Crawford, S. M.
    • Monthly Notices of the Royal Astronomical Society, Vol. 467, Issue 3
    • DOI: 10.1093/mnras/stx301

    Tests of cosmological models constrained by inflation
    journal, September 1984

    • Peebles, P. J. E.
    • The Astrophysical Journal, Vol. 284
    • DOI: 10.1086/162425

    Dark energy equation of state parameter and its evolution at low redshift
    journal, June 2017

    • Tripathi, Ashutosh; Sangwan, Archana; Jassal, H. K.
    • Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 06
    • DOI: 10.1088/1475-7516/2017/06/012

    Creation of open universes from de Sitter space
    journal, January 1982


    A general reconstruction of the recent expansion history of the universe
    journal, September 2015


    Model-independent reconstruction of the expansion history of the Universe from Type Ia supernovae: Model-independent reconstruction of H(a)
    journal, October 2011


    Model-independent determination on H 0 using the latest cosmic chronometer data
    journal, August 2017


    Cold dark matter cosmogony in an open universe
    journal, September 1994

    • Ratra, Bharat; Peebles, P. J. E.
    • The Astrophysical Journal, Vol. 432
    • DOI: 10.1086/187498

    Median Statistics, H 0 , and the Accelerating Universe
    journal, March 2001

    • Gott III, J. Richard; Vogeley, Michael S.; Podariu, Silviu
    • The Astrophysical Journal, Vol. 549, Issue 1
    • DOI: 10.1086/319055

    The BOSS–WiggleZ overlap region – I. Baryon acoustic oscillations
    journal, November 2015

    • Beutler, Florian; Blake, Chris; Koda, Jun
    • Monthly Notices of the Royal Astronomical Society, Vol. 455, Issue 3
    • DOI: 10.1093/mnras/stv1943

    Null tests of the cosmological constant using supernovae
    journal, January 2014


    Median Statistics and the Hubble Constant
    journal, September 2011

    • Chen, Gang; Ratra, Bharat
    • Publications of the Astronomical Society of the Pacific, Vol. 123, Issue 907
    • DOI: 10.1086/662131

    Hubble Parameter Measurement Constraints on the Redshift of the Deceleration–Acceleration Transition, Dynamical dark Energy, and Space Curvature
    journal, January 2017

    • Farooq, Omer; Madiyar, Foram Ranjeet; Crandall, Sara
    • The Astrophysical Journal, Vol. 835, Issue 1
    • DOI: 10.3847/1538-4357/835/1/26

    Dynamical dark energy or simply cosmic curvature?
    journal, August 2007

    • Clarkson, Chris; Cortês, Marina; Bassett, Bruce
    • Journal of Cosmology and Astroparticle Physics, Vol. 2007, Issue 08
    • DOI: 10.1088/1475-7516/2007/08/011

    Measuring the Hubble constant with Type Ia supernovae as near-infrared standard candles
    journal, January 2018


    Using H ( z ) data as a probe of the concordance model
    journal, October 2012


    Measurement of baryon acoustic oscillation correlations at z  = 2.3 with SDSS DR12 Ly α -Forests
    journal, June 2017


    What do the cosmological supernova data really tell us?
    journal, December 2015


    The WiggleZ Dark Energy Survey: joint measurements of the expansion and growth history at z < 1 : WiggleZ Survey: expansion history
    journal, July 2012


    Model-independent Constraints on Cosmic Curvature and Opacity
    journal, September 2017

    • Wang, Guo-Jian; Wei, Jun-Jie; Li, Zheng-Xiang
    • The Astrophysical Journal, Vol. 847, Issue 1
    • DOI: 10.3847/1538-4357/aa8725

    Baryon acoustic oscillations in the Ly α forest of BOSS DR11 quasars
    journal, January 2015


    The clustering of the SDSS DR7 main Galaxy sample – I. A 4 per cent distance measure at z = 0.15
    journal, March 2015

    • Ross, Ashley J.; Samushia, Lado; Howlett, Cullan
    • Monthly Notices of the Royal Astronomical Society, Vol. 449, Issue 1
    • DOI: 10.1093/mnras/stv154

    Everything you always wanted to know about the cosmological constant problem (but were afraid to ask)
    journal, July 2012


    Supernova Ia Constraints on a Time‐variable Cosmological “Constant”
    journal, March 2000

    • Podariu, Silviu; Ratra, Bharat
    • The Astrophysical Journal, Vol. 532, Issue 1
    • DOI: 10.1086/308575

    Dark energy two decades after: observables, probes, consistency tests
    journal, December 2017


    We do not live in the Rh = ct universe: We do not live in the Rh = ct universe
    journal, August 2012


    Planck 2015 results : XIII. Cosmological parameters
    journal, September 2016


    Cosmic chronometers: constraining the equation of state of dark energy. I: H ( z ) measurements
    journal, February 2010

    • Stern, Daniel; Jimenez, Raul; Verde, Licia
    • Journal of Cosmology and Astroparticle Physics, Vol. 2010, Issue 02
    • DOI: 10.1088/1475-7516/2010/02/008

    The status of varying constants: a review of the physics, searches and implications
    journal, November 2017


    Nonparametric reconstruction of the cosmic expansion with local regression smoothing and simulation extrapolation
    journal, February 2014


    emcee : The MCMC Hammer
    journal, March 2013

    • Foreman-Mackey, Daniel; Hogg, David W.; Lang, Dustin
    • Publications of the Astronomical Society of the Pacific, Vol. 125, Issue 925
    • DOI: 10.1086/670067

    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

    • Ata, Metin; Baumgarten, Falk; Bautista, Julian
    • Monthly Notices of the Royal Astronomical Society, Vol. 473, Issue 4
    • DOI: 10.1093/mnras/stx2630

    The 6dF Galaxy Survey: baryon acoustic oscillations and the local Hubble constant: 6dFGS: BAOs and the local Hubble constant
    journal, July 2011