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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); National Basic Research Program of China; National Natural Science Foundation of China (NSFC); 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. 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},
journal = {The Astrophysical Journal (Online)},
number = 1,
volume = 856,
place = {United States},
year = {2018},
month = {3}
}

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