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MODEL-INDEPENDENT DETERMINATION OF CURVATURE PARAMETER USING H ( z ) AND D A ( z ) DATA PAIRS FROM BAO MEASUREMENTS

2014/04/30 by Yun-Long Li, Shi-Yu Li, Tong-Jie Zhang +1 · 1 citation
Physics and Astronomy · #CMB cold spot #Cosmology and Gravitation Theories #Curvature #Hubble's law #Measure (data warehouse) #Noncommutative and Quantum Gravity Theories #Order (exchange) #Oscillation (cell signaling) #Relativity and Gravitational Theory #astro-ph.CO

paper · pdf · doi:10.1088/2041-8205/789/1/l15

5 pages, 3 figures. Accepted for publication in ApJL

arxiv created 2014/06/06 · openalex publication_date 2014/06/17 · arxiv updated 2015/06/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We present a model-independent determination of the curvature parameter Ω k using the Hubble parameter H ( z ) and the angular diameter distance D A ( z ) from recent baryon acoustic oscillation (BAO) measurements. Each H ( z ) and D A ( z ) pair from a BAO measurement can constrain a curvature parameter. The accuracy of the curvature measurement improves with increased redshift of H ( z ) and D A ( z ) data. By using the H ( z ) and D A ( z ) pair derived from a BAO Lyman α forest measurement at z = 2.36, the Ω k is confined to be −0.05 ± 0.06, which is consistent with the curvature of constrained by the nine year Wilkinson Microwave Anisotropy Probe data only. Considering future BAO measurements, at least one order of magnitude improvement of this curvature measurement can be expected.

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