arXiv 2002.128812020-02astro-ph.COgr-qc

广义涌现暗能量：观测哈勃数据约束和稳定性分析

Generalized Emergent Dark Energy: observational Hubble data constraints and stability analysis

A. Hernández-Almada, Genly Leon, Juan Magaña, Miguel A. García-Aspeitia, V. Motta

备注：: Accepted for publication in MNRAS
DOI：: 10.1093/mnras/staa2052

摘要：

最近\citet{PEDE:2019ApJ}提出了唯象涌现的暗能量（PEDE），认为暗能量密度随着$\widetildeΩ_{\rm{DE}}(z)\,=\,Ω_{\rm{DE,0}}\left[ 1 - {\rm{tanh}}\left( {\log}_{10}(1+z) \right) \right]$而演化，其优点是它没有自由度。后来，\citet{PEDE:2020}通过在PEDE模型中增加一个自由度提出了一个广义模型，编码在参数$Δ$中。出于这些建议，我们约束参数空间（$h,Ω_m$）和（$h,Ω_m, Δ$）分别为PEDE和广义涌现暗能量（GEDE），采用最新的观测（非）均匀哈勃数据。此外，我们重建的减速和加加速度参数和估计屈服值在$z=0$的$q_0 = -0.784^{+0.028}_{-0.027}$和$j_0 = 1.241^{+0.164}_{-0.149}$的PEDE和$q_0 = -0.730^{+0.059}_{-0.067}$和$j_0 = 1.293^{+0.194}_{-0.187}$的GEDE使用均匀的样品。我们报告的减速-加速过渡红移值与文献中报道的$2σ$ CL。此外，我们还对PEDE和GEDE模型进行了稳定性分析，以研究宇宙在其临界点附近的全局演化。虽然PEDE和GEDE动力学与标准模型相似，但我们的稳定性分析表明，在这两个模型中，宇宙的早期都有一个加速阶段。

英文摘要：

Recently \citet{PEDE:2019ApJ} proposed a phenomenologically emergent dark energy (PEDE) which consider that the dark energy density evolves as $\widetildeΩ_{\rm{DE}}(z)\,=\,Ω_{\rm{DE,0}}\left[ 1 - {\rm{tanh}}\left( {\log}_{10}(1+z) \right) \right]$ with the advantage that it does not have degree of freedom. Later on, \citet{PEDE:2020} proposed a generalized model by adding one degree of freedom to the PEDE model, encoded in the parameter $Δ$. Motivated by these proposals, we constrain the parameter space ($h,Ω_m$) and ($h,Ω_m, Δ$) for PEDE and Generalized Emergent Dark Energy (GEDE) respectively, by employing the most recent observational (non-) homogeneous Hubble data. Additionally, we reconstruct the deceleration and jerk parameters and estimate yield values at $z=0$ of $q_0 = -0.784^{+0.028}_{-0.027}$ and $j_0 = 1.241^{+0.164}_{-0.149}$ for PEDE and $q_0 = -0.730^{+0.059}_{-0.067}$ and $j_0 = 1.293^{+0.194}_{-0.187}$ for GEDE using the homogeneous sample. We report values on the deceleration-acceleration transition redshift with those reported in the literature within $2σ$ CL. Furthermore, we perform a stability analysis of the PEDE and GEDE models to study the global evolution of the Universe around their critical points. Although the PEDE and GEDE dynamics are similar to the standard model, our stability analysis indicates that in both models there is an accelerated phase at early epochs of the Universe.

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英文摘要：

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