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Cosmological model-independent test of ΛCDM with two-point diagnostic by the observational Hubble parameter data

2017/12/31 by Shu-Lei Cao, Xiao-Wei Duan, Xiao-Lei Meng +1
Physics and Astronomy · #astro-ph.CO #hep-ph #hep-th

paper · pdf · doi:10.1140/epjc/s10052-018-5796-y

published as Eur. Phys. J. C (2018) 78:313 · 14 pages, 7 figures. Figures updated due to finding of a typo (thanks to Dr. Remudin Reshid Mekuria). arXiv admin note: text overlap with arXiv:1507.02517

arxiv created 2021/07/11 · arxiv updated 2021/07/13

Abstract

Aiming at exploring the nature of dark energy (DE), we use forty-three observational Hubble parameter data (OHD) in the redshift range 0 < z \leqslant 2.36 to make a cosmological model-independent test of the ΛCDM model with two-point Omh2(z2;z1) diagnostic. In ΛCDM model, with equation of state (EoS) w=-1, two-point diagnostic relation Omh2 ≡ Ωm h2 is tenable, where Ωm is the present matter density parameter, and h is the Hubble parameter divided by 100 \rm km s-1 Mpc-1. We utilize two methods: the weighted mean and median statistics to bin the OHD to increase the signal-to-noise ratio of the measurements. The binning methods turn out to be promising and considered to be robust. By applying the two-point diagnostic to the binned data, we find that although the best-fit values of Omh2 fluctuate as the continuous redshift intervals change, on average, they are continuous with being constant within 1 σ confidence interval. Therefore, we conclude that the ΛCDM model cannot be ruled out.

Citations