• DOI:10.1140/epjc/s10052-018-5796-y
• Corpus ID: 59483921

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

@article{Cao2017CosmologicalMT,
  title={Cosmological model-independent test of \$\$\varLambda \$\$$\Lambda$CDM with two-point diagnostic by the observational Hubble parameter data},
  author={Shulei Cao and Xiao-Wei Duan and Xiao-Lei Meng and Tong-Jie Zhang},
  journal={The European Physical Journal C},
  year={2017},
  volume={78},
  pages={1-16}
}

• Shulei Cao, Xiao-Wei Duan, +1 author Tong-Jie Zhang
• Published 4 December 2017
• Physics
• The European Physical Journal C

Aiming at exploring the nature of dark energy (DE), we use forty-three observational Hubble parameter data (OHD) in the redshift range $$0 < z \leqslant 2.36$$0<z⩽2.36 to make a cosmological model-independent test of the $$\varLambda $$ΛCDM model with two-point $$Omh^2(z_{2};z_{1})$$Omh2(z2;z1) diagnostic. In $$\varLambda $$ΛCDM model, with equation of state (EoS) $$w=-1$$w=-1, two-point diagnostic relation $$Omh^2 \equiv \varOmega _{\mathrm{m}}h^2$$Omh2≡Ωmh2 is tenable, where $$\varOmega _{\mathrm{m}}$$Ωm is the present matter density parameter, and h is the Hubble parameter divided by 100 $${\mathrm {km\, s^{-1} \ Mpc^{-1}}}$$kms-1Mpc-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 $$Omh^2$$Omh2 fluctuate as the continuous redshift intervals change, on average, they are continuous with being constant within 1 $$\sigma $$σ confidence interval. Therefore, we conclude that the $$\varLambda $$ΛCDM model cannot be ruled out.