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 varLambda CDM model with two-point Omh^2(z_{2};z_{1}) diagnostic. In varLambda CDM model, with equation of state (EoS) w=-1, two-point diagnostic relation Omh^2 equiv varOmega _{mathrm{m}}h^2 is tenable, where varOmega _{mathrm{m}} is the present matter density parameter, and h is the Hubble parameter divided by 100 {mathrm {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 Omh^2 fluctuate as the continuous redshift intervals change, on average, they are continuous with being constant within 1 sigma confidence interval. Therefore, we conclude that the varLambda CDM model cannot be ruled out.
Highlights
The existence of dark energy (DE) with negative equation of state (EoS) parameter w ≡ pDE/ρDE is considered as a prevailing interpretation currently
In this paper, motivated by the investigations on the nature of DE, we test the validity of ΛCDM with the two-point Omh2(z2; z1) diagnostic by using 43 observational H (z) data (OHD) which are obtained from the cosmic chronometers and baryon acoustic oscillation (BAO) methods
Instead of direct employment of the OHD on the Omh2(z2; z1) diagnostic, we introduce the two binning methods: the weighted mean and median statistics to reduce the noise in the data
Summary
The existence of dark energy (DE) with negative equation of state (EoS) parameter w ≡ pDE/ρDE is considered as a prevailing interpretation currently. 5. The OHD can be used to constrain cosmological parameters because they are obtained from model-independent direct observations. Liu et al [27] present a new method of measuring Hubble parameter by using the anisotropy of luminosity distance, and the analysis of gravitational wave of neutron star binary system.
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