Holographic Dark Energy in Brans-Dicke Theory

Lixin Xu; Wenbo Li; Jianbo Lu

doi:10.1140/epjc/s10052-008-0858-1

paper

Holographic Dark Energy in Brans-Dicke Theory

arXiv:0804.2925 · doi:10.1140/epjc/s10052-008-0858-1

Abstract

In this paper, the holographic dark energy model is considered in Brans-Dicke theory where the holographic dark energy density $ρ_{Λ} = 3 c^{2} M_{pl}^{2} L^{- 2}$ is replaced with $ρ_{h} = 3 c^{2} Φ (t) L^{- 2}$ . Here $Φ (t) = \frac{1}{8 π G}$ is a time variable Newton constant. With this replacement, it is found that no accelerated expansion universe will be achieved when the Hubble horizon is taken as the role of IR cut-off. When the event horizon is adopted as the IR cut-off, an accelerated expansion universe is obtained. In this case, the equation of state of holographic dark energy $w_{h}$ takes a modified form $w_{h} = - 1/3 (1 + α + \frac{2}{c} Ω_{h})$ . In the limit $α \to 0$ , the 'standard' holographic dark energy is recovered. In the holographic dark energy dominated epoch, power-law and de Sitter time-space solutions are obtained.

7 pages, 1 figure, match the published version

Holographic Dark Energy in Brans-Dicke Theory

Abstract

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