DGP模型中全息真空能的动力学
Dynamics of holographic vacuum energy in the DGP model
摘要：
我们根据全息原理考虑了DGP模型中真空能量的演化，并假设红外和紫外截止点之间的关系在这种情况下仍然成立。研究了当红外截止点分别为哈勃尺度$H^{-1}$、粒子视界$R_{\rm ph}$和未来事件视界$R_{\rm eh}$时的模型。并考虑了DGP模型的两个分支。通过数值分析，我们发现在（+）支的$H^{-1}$和两支都是$R_{\rm eh}$的情况下，真空能可以起到暗能量的作用。同时考虑真空能和5D引力效应，有效暗能量的状态方程可能会出现-1交叉，从而导致大撕裂奇异性.此外，我们用Ia型超新星和重子振荡数据对模型进行了约束，发现我们的模型与$1σ$中的现有数据是一致的，并且观测结果更倾向于纯全息暗能量或纯DGP模型
英文摘要：
We consider the evolution of the vacuum energy in the DGP model according to the holographic principle under the assumption that the relation linking the IR and UV cut-offs still holds in this scenario. The model is studied when the IR cut-off is chosen to be the Hubble scale $H^{-1}$, the particle horizon $R_{\rm ph}$ and the future event horizon $R_{\rm eh}$, respectively. And the two branches of the DGP model are also taken into account. Through numerical analysis, we find that in the cases of $H^{-1}$ in the (+) branch and $R_{\rm eh}$ in both branches, the vacuum energy can play the role of dark energy. Moreover, when considering the combination of the vacuum energy and the 5D gravity effect in both branches, the equation of state of the effective dark energy may cross -1, which may lead to the Big Rip singularity. Besides, we constrain the model with the Type Ia supernovae and baryon oscillation data and find that our model is consistent with current data within $1σ$, and that the observations prefer either a pure holographic dark energy or a pure DGP model
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