利用近期观测约束über引力并研究$H_0$问题
Constraining uber gravity with recent observations and studying the $H_0$ problem
AI总结：
本文在über引力理论下研究ü$Λ$CDM和üCDM模型，利用Pantheon+等数据约束参数，发现$H_0$张力未缓解，且联合分析中模型受拒。
摘要：
本文在über引力理论下研究了$Λ$CDM和CDM模型，分别命名为ü$Λ$CDM和üCDM。我们使用多种宇宙学数据，特别是最近的Pantheon+样本，报告了它们参数相空间的约束。基于联合分析，ü$Λ$CDM和üCDM的über特征参数$z_\oplus$在68%置信水平下的最佳拟合值分别为$z_\oplus = 0.046^{+0.047}_{-0.032}$和$z_\oplus = 1.382^{+0.020}_{-0.021}$。尽管über引力可以成功模拟宇宙学常数，但我们发现$\mathbb{H}0(z)$诊断表明$H_0$张力并未得到缓解。最后，通过Akaike和Bayesian信息准则将两种模型与$Λ$CDM进行统计比较。对于大多数单一样本，两种über引力模型和$Λ$CDM同样受偏好，特别是ü$Λ$CDM未被CMB数据拒绝。然而，对于联合分析，存在强烈证据反对它们。
英文摘要：
This paper studies both $Λ$CDM and CDM models under the über gravity theory, named ü$Λ$CDM and üCDM respectively. We report bounds over their parameter phase-space using several cosmological data, in particular, the recent Pantheon+ sample. Based on the joint analysis, the best fit value of the über characteristic parameter is $z_\oplus = 0.046^{+0.047}_{-0.032}$ and $z_\oplus = 1.382^{+0.020}_{-0.021}$ at 68\% confidence level for ü$Λ$CDM and üCDM respectively. Although über gravity can successfully mimics the cosmological constant, we find that the $\mathbb{H}0(z)$ diagnostic suggests the $H_0$ tension is not alleviated. Finally, both models are statistically compared with $Λ$CDM through the Akaike and Bayesian information criteria. Both über gravity models and $Λ$CDM are equally preferred for most of the single samples, in particular, ü$Λ$CDM is not rejected by the CMB data. However, there is strong evidence against them for the joint analysis.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
