Generalized Holographic and Ricci Dark Energy Models

Lixin Xu; Jianbo Lu; Wenbo Li

doi:10.1140/epjc/s10052-009-1122-z

paper

Generalized Holographic and Ricci Dark Energy Models

arXiv:0906.0210 · doi:10.1140/epjc/s10052-009-1122-z

Abstract

In this paper, we consider generalized holographic and Ricci dark energy models where the energy densities are given as $ρ_{R} = 3 c^{2} M_{pl}^{2} R f (H^{2} / R)$ and $ρ_{h} = 3 c^{2} M_{pl}^{2} H^{2} g (R / H^{2})$ respectively, here $f (x), g (y)$ are positive defined functions of dimensionless variables $H^{2} / R$ or $R / H^{2}$ . It is interesting that holographic and Ricci dark energy densities are recovered or recovered interchangeably when the function $f (x) = g (y) \equiv 1$ or $f = g \equiv I d$ is taken respectively (for example $f (x), g (x) = 1 - ε (1 - x)$ , $ε = 0 or 1$ respectively). Also, when $f (x) \equiv xg (1/ x)$ is taken, the Ricci and holographic dark energy models are equivalents to a generalized one. When the simple forms $f (x) = 1 - ε (1 - x)$ and $g (y) = 1 - η (1 - y)$ are taken as examples, by using current cosmic observational data, generalized dark energy models are researched. As expected, in these cases, the results show that they are equivalent ( $ε = 1 - η = 1.312$ ) and Ricci-like dark energy is more favored relative to the holographic one where the Hubble horizon was taken as an IR cut-off. And, the suggestive combination of holographic and Ricci dark energy components would be $1.312 R - 0.312 H^{2}$ which is $2.312 H^{2} + 1.312 H ˙$ in terms of $H^{2}$ and $H ˙$ .

10 pages, 3 figures

Generalized Holographic and Ricci Dark Energy Models

Abstract

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