Cosmological model-independent test of [Formula omitted]CDM with two-point diagnostic by the observational Hubble parameter data

• Published in: The European physical journal. C, Particles and fields Vol. 78; no. 4
• Main Authors: Cao, Shu-Lei, Duan, Xiao-Wei, Meng, Xiao-Lei, Zhang, Tong-Jie
• Format: Journal Article
• Language: English
• Published: Springer 19.04.2018
• Subjects: Analysis; Energy (Physics)
• ISSN: 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-018-5796-y

Aiming at exploring the nature of dark energy (DE), we use forty-three observational Hubble parameter data (OHD) in the redshift range [Formula omitted] to make a cosmological model-independent test of the [Formula omitted]CDM model with two-point [Formula omitted] diagnostic. In [Formula omitted]CDM model, with equation of state (EoS) [Formula omitted], two-point diagnostic relation [Formula omitted] is tenable, where [Formula omitted] is the present matter density parameter, and h is the Hubble parameter divided by 100 [Formula omitted]. 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 [Formula omitted] fluctuate as the continuous redshift intervals change, on average, they are continuous with being constant within 1 [Formula omitted] confidence interval. Therefore, we conclude that the [Formula omitted]CDM model cannot be ruled out.