论文标题

在非平台宇宙中运行真空模型

Running vacuum model in non-flat universe

论文作者

Geng, Chao-Qiang, Hsu, Yan-Ting, Yin, Lu, Zhang, Kaituo

论文摘要

We investigate observational constraints on the running vacuum model (RVM) of $Λ=3ν(H^{2}+K/a^2)+c_0$ in the spatially curved universe, where $ν$ is the model parameter, $K$ corresponds to the spatial curvature constant, and $c_{0}$ is a constant defined by the boundary conditions.作为$ \dotλ\ ne 0 $,RVM中的真空,物质和辐射之间存在能量交流。我们研究了RVM在CMB功率谱上的“几何变性”。通过拟合宇宙学数据,我们发现rvm中$χ^2 $的值和$λ$ CDM在非平板宇宙中彼此相似。明确地,我们获得了$ν\ leq o(10^{ - 4})$(68 $ \%$ c.l.)和$ | |ω_k| \ leq o(10^{ - 2})$(95 $ \%$ c.l.)的约束。此外,我们表明$σm_ν= 0.416^{+0.311} _ { - 0.407} $(rvm)和$σm_ν= 0.497^{+0.335} _ { - 0.335} _ { - 0.387} $($λ$ CDM)在95 $ c.l。对于中微子质量,在空间弯曲的宇宙中的两个模型中都放松。

We investigate observational constraints on the running vacuum model (RVM) of $Λ=3ν(H^{2}+K/a^2)+c_0$ in the spatially curved universe, where $ν$ is the model parameter, $K$ corresponds to the spatial curvature constant, and $c_{0}$ is a constant defined by the boundary conditions. As $\dotΛ \ne 0$, there are energy exchanges between vacuum, matter and radiation in RVM. We study the "geometrical degeneracy" of RVM on the CMB power spectra. By fitting the cosmological data, we find that the values of $χ^2$ in RVM and $Λ$CDM are similar to each other for the non-flat universe. Explicitly, we obtain the constraints of $ν\leq O(10^{-4})$ (68 $\%$ C.L.) and $|Ω_K|\leq O(10^{-2})$ (95 $\%$ C.L.) in our study. In addition, we show that the cosmological constraints of $Σm_ν=0.416^{+0.311}_{-0.407}$ (RVM) and $Σm_ν=0.497^{+0.335}_{-0.387}$ ($Λ$CDM) at 95$\%$ C.L. for the neutrino mass sum are relaxed in both models in the spatially curved universe.

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