论文标题

来自Hamiltonian的循环量子宇宙学模型

Loop quantum cosmological model from ADM Hamiltonian

论文作者

Ding, You, Zhang, Xiangdong

论文摘要

本文研究了来自ADM Hamiltonian的循环量子宇宙学模型。我们考虑空间平坦的均匀FRW模型。事实证明,修改的Friedmann方程保持与APS LQC模型相同的形式。但是,弹跳点的关键物质密度仅为以前APS模型的四分之一,即$ρ_{Cl} = \ frac {ρ_C} {4} $。这很有趣,因为较低的临界弹跳密度意味着量子重力效应将比以前的LQC模型提前参与。此外,较低的临界密度还意味着比以前的模型更容易检测量子重力效应。

The loop quantum cosmological model from ADM Hamiltonian is studied in this paper. We consider the spatially flat homogeneous FRW model. It turns out that the modified Friedmann equation keeps the same form as the APS LQC model. However, the critical matter density for the bounce point is only a quarter of the previous APS model, i.e. $ρ_{cL}=\frac{ρ_c}{4}$. This is interesting because the lower critical bounce density means the quantum gravity effects will get involved earlier than the previous LQC model. Besides, the lower critical density also means the detection of quantum gravity effects easier than the previous model.

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