https://doi.org/10.1140/epjc/s10052-018-5796-y
Regular Article - Theoretical Physics
Cosmological model-independent test of
CDM with two-point diagnostic by the observational Hubble parameter data
1
Dezhou University, Dezhou, 253023, China
2
Department of Astronomy, Beijing Normal University, Beijing, 100875, China
3
Department of Astronomy, School of Physics, Peking University, Beijing, 100871, China
* e-mail: tjzhang@bnu.edu.cn
Received:
8
February
2018
Accepted:
9
April
2018
Published online:
19
April
2018
Aiming at exploring the nature of dark energy (DE), we use forty-three observational Hubble parameter data (OHD) in the redshift range to make a cosmological model-independent test of the
CDM model with two-point
diagnostic. In
CDM model, with equation of state (EoS)
, two-point diagnostic relation
is tenable, where
is the present matter density parameter, and h is the Hubble parameter divided by 100
. 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
fluctuate as the continuous redshift intervals change, on average, they are continuous with being constant within 1
confidence interval. Therefore, we conclude that the
CDM model cannot be ruled out.
© The Author(s), 2018