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:
-
[1];
[2];
[3]
- Nanjing Univ. (China); Kansas State Univ., Manhattan, KS (United States)
- Kansas State Univ., Manhattan, KS (United States)
- 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); 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:
- Journal Article: Accepted Manuscript
- Journal Name:
- The Astrophysical Journal (Online)
- Additional Journal Information:
- 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. https://doi.org/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. https://doi.org/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},
url = {https://www.osti.gov/biblio/1542020},
journal = {The Astrophysical Journal (Online)},
issn = {1538-4357},
number = 1,
volume = 856,
place = {United States},
year = {2018},
month = {3}
}
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Works referencing / citing this record:
Binned Hubble parameter measurements and the cosmological deceleration–acceleration transition
journal, October 2013
- Farooq, Omer; Crandall, Sara; Ratra, Bharat
- Physics Letters B, Vol. 726, Issue 1-3
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
Two new diagnostics of dark energy
journal, November 2008
- Sahni, Varun; Shafieloo, Arman; Starobinsky, Alexei A.
- Physical Review D, Vol. 78, Issue 10
A 2.4% Determination of the Local Value of the Hubble Constant
journal, July 2016
- Riess, Adam G.; Macri, Lucas M.; Hoffmann, Samantha L.
- The Astrophysical Journal, Vol. 826, Issue 1
Model-independent determination of the cosmic expansion rate: I. Application to type-Ia supernovae
journal, February 2008
- Mignone, C.; Bartelmann, M.
- Astronomy & Astrophysics, Vol. 481, Issue 2
Model-independent test of the FLRW metric, the flatness of the Universe, and non-local estimation of H 0 r d
journal, January 2017
- L'Huillier, Benjamin; Shafieloo, Arman
- Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 01
Observational constraints on non-flat dynamical dark energy cosmological models
journal, April 2015
- Farooq, Omer; Mania, Data; Ratra, Bharat
- Astrophysics and Space Science, Vol. 357, Issue 1
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
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
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
Hubble parameter data constraints on dark energy
journal, September 2011
- Chen, Yun; Ratra, Bharat
- Physics Letters B, Vol. 703, Issue 4
Gaussian process cosmography
journal, June 2012
- Shafieloo, Arman; Kim, Alex G.; Linder, Eric V.
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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
Is there a concordance value for H 0 ?
journal, November 2016
- Luković, Vladimir V.; D’Agostino, Rocco; Vittorio, Nicola
- Astronomy & Astrophysics, Vol. 595
Cosmological implications of baryon acoustic oscillation measurements
journal, December 2015
- Aubourg, Éric; Bailey, Stephen; Bautista, Julian E.
- Physical Review D, Vol. 92, Issue 12
Hubble Parameter Measurement Constraints on the Cosmological Deceleration-Acceleration Transition Redshift
journal, March 2013
- Farooq, Omer; Ratra, Bharat
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Cosmological consequences of a rolling homogeneous scalar field
journal, June 1988
- Ratra, Bharat; Peebles, P. J. E.
- Physical Review D, Vol. 37, Issue 12
Improved constraints on the expansion rate of the Universe up to z ∼ 1.1 from the spectroscopic evolution of cosmic chronometers
journal, August 2012
- Moresco, M.; Cimatti, A.; Jimenez, R.
- Journal of Cosmology and Astroparticle Physics, Vol. 2012, Issue 08
Geometrical constraint on curvature with BAO experiments
journal, December 2015
- Takada, Masahiro; Doré, Olivier
- Physical Review D, Vol. 92, Issue 12
Quasar-Lyman α forest cross-correlation from BOSS DR11: Baryon Acoustic Oscillations
journal, May 2014
- Font-Ribera, Andreu; Kirkby, David; Busca, Nicolas
- Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 05
Cosmological discordances. II. Hubble constant, Planck and large-scale-structure data sets
journal, October 2017
- Lin, Weikang; Ishak, Mustapha
- Physical Review D, Vol. 96, Issue 8
Null test of the cosmic curvature using and supernovae data
journal, February 2016
- Cai, Rong-Gen; Guo, Zong-Kuan; Yang, Tao
- Physical Review D, Vol. 93, Issue 4
The Atacama Cosmology Telescope: cosmological parameters from three seasons of data
journal, October 2013
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