Constraints on $\Lambda (t)$CDM models as holographic and agegraphic dark energy with the observational Hubble parameter data

Abstract

The newly released observational $H(z)$ data (OHD) is used to constrain $\Lambda (t)$CDM models as holographic and agegraphic dark energy. By the use of the length scale and time scale as the IR cut-off including Hubble horizon (HH), future event horizon (FEH), age of the universe (AU), and conformal time (CT), we achieve four different $\Lambda (t)$CDM models which can describe the present cosmological acceleration respectively. In order to get a comparison between such $\Lambda (t)$CDM models and standard $\Lambda$CDM model, we use the information criteria (IC), $Om(z)$ diagnostic, and statefinder diagnostic to measure the deviations. Furthermore, by simulating a larger Hubble parameter data sample in the redshift range of $0.1<z<2.0$, we get the improved constraints and more sufficient comparison. We show that OHD is not only able to play almost the same role in constraining cosmological parameters as SNe Ia does but also provides the effective measurement of the deviation of the DE models from standard $\Lambda$CDM model. In the holographic and agegraphic scenarios, the results indicate that the FEH is more preferable than HH scenario. However, both two time scenarios show better approximations to $\Lambda$CDM model than the length scenarios.

20 pages, 10 figures, 3 tables

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• Holographic Λ(t)CDM model in a non-flat universe
• The accelerated scaling attractor solution of the interacting agegraphic dark energy in Brans-Dicke theory
• Constraining the Lattice Fluid Dark Energy from SNe Ia, BAO and OHD
• Can the coincidence problem be solved by a cosmological model of coupled dark energy and dark matter?
• Quintessence reconstruction of interacting HDE in a non-flat universe