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Reference frame dependence of the local measurement of the Hubble constant

2019/09/30 by Zhe Chang, Qing-Hua Zhu
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Age of the universe #Astrophysics #Cosmic microwave background #Cosmology #Cosmology and Gravitation Theories #Dark energy #Geodesic #Geometry #Hubble's law #Mathematical physics #Mathematics #Observational cosmology #Physics #Quantum mechanics #Relativity and Gravitational Theory #astro-ph.CO #gr-qc

paper · pdf · doi:10.1103/physrevd.101.103530

published as Phys. Rev. D 101, 103530 (2020) · v1: 12 pages; v2: 19 pages, 2 figures. A revised version for publishing in PRD

openalex publication_date 2020/05/26 · arxiv created 2020/05/29 · arxiv updated 2020/06/01 · openalex created_date 2020/06/05 · openalex updated_date 2026/08/05

Abstract

Observations recently suggest 4.4\ensuremathσ discrepancy between Hubble constant measured locally and that inferred from cosmic microwave background in standard cosmology. Either standard cosmology or local measurement might expect something new. We investigate the possibility that the value of Hubble constants might be affected by the observers' motional status in the local measurement. Using adapted coordinates for geodesic observers in Friedmann-Lemaitre-Robertson-Walker space-time and constraints inferred from observation of cosmic shear, we find that the motional status of the reference frame could contribute to about 1.1\ifmmode±\else\textpm\fi0.3% discrepancy of these Hubble constants. Namely, the difference is \mathrm\ensuremathΔH0=0.81\ifmmode±\else\textpm\fi0.22 km s^\ensuremath-1 Mpc^\ensuremath-1, if the locally measured Hubble constant is 74 km s^\ensuremath-1 Mpc^\ensuremath-1. This effect seems not negligible as an uncertainty for local measurement of Hubble constant.

Citations