倾斜空间平坦和非倾斜非平坦$ϕ$ CDM动力学暗能量暴胀模型的观测约束
Observational constraints on the tilted spatially-flat and the untilted nonflat $ϕ$CDM dynamical dark energy inflation models
摘要：
我们利用普朗克2015年宇宙微波背景（CMB）各向异性测量和最近的重子声学振荡距离观测、Ia型超新星视星等数据、哈勃参数测量和增长率数据，约束空间平坦倾斜和非平坦非倾斜标量场（$ϕ$）动力学暗能量膨胀（$ϕ$ CDM）模型.我们假设一个逆幂律标量场势能密度$V(ϕ)=V_0 ϕ^{-α}$。我们发现，CMB数据与四个非CMB数据集的组合显着提高了参数的约束，并加强了非平坦的非倾斜$ϕ$ CDM的情况下，从$1.8σ$的CMB测量仅超过$3.1σ$的组合数据的非平坦性的证据。在非平坦非倾斜的$ϕ$ CDM模型中，目前的观测倾向于一个空间封闭的宇宙，其空间曲率贡献了目前宇宙学能量预算的三分之二。平坦倾斜的$ϕ$ CDM模型比标准的平坦倾斜的$σ$ CDM模型更适合数据：当前的数据允许暗能量是动态的。非平坦倾斜的$ϕ$ CDM模型更符合暗能量巡天关于质量涨落均方根振幅（$σ_8$）作为非相对论物质密度参数（$Ω_m$）的函数的界限，但它不能像标准平坦倾斜的$Λ$ CDM模型那样很好地拟合更大的多极普朗克2015 CMB各向异性数据。一些宇宙学参数值的测量显着不同时，确定使用倾斜的平面和非倾斜的非平面$ϕ$ CDM模型，包括冷暗物质密度参数和再电离光学深度。
英文摘要：
We constrain spatially-flat tilted and nonflat untilted scalar field ($ϕ$) dynamical dark energy inflation ($ϕ$CDM) models by using Planck 2015 cosmic microwave background (CMB) anisotropy measurements and recent baryonic acoustic oscillation distance observations, Type Ia supernovae apparent magnitude data, Hubble parameter measurements, and growth rate data. We assume an inverse power-law scalar field potential energy density $V(ϕ)=V_0 ϕ^{-α}$. We find that the combination of the CMB data with the four non-CMB data sets significantly improves parameter constraints and strengthens the evidence for nonflatness in the nonflat untilted $ϕ$CDM case from $1.8σ$ for the CMB measurements only to more than $3.1σ$ for the combined data. In the nonflat untilted $ϕ$CDM model current observations favor a spatially closed universe with spatial curvature contributing about two-thirds of a percent of the present cosmological energy budget. The flat tilted $ϕ$CDM model is a 0.4$σ$ better fit to the data than is the standard flat tilted $Λ$CDM model: current data allow for the possibility that dark energy is dynamical. The nonflat tilted $ϕ$CDM model is in better accord with the Dark Energy Survey bounds on the rms amplitude of mass fluctuations now ($σ_8$) as a function of the nonrelativistic matter density parameter now ($Ω_m$) but it does not provide as good a fit to the larger-multipole Planck 2015 CMB anisotropy data as does the standard flat tilted $Λ$CDM model. A few cosmological parameter value measurements differ significantly when determined using the tilted flat and the untilted nonflat $ϕ$CDM models, including the cold dark matter density parameter and the reionization optical depth.
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