利用最新宇宙学数据检验含对数物态方程的$f(Q)$引力
Testing $f(Q)$ Gravity with Logarithmic Equation of State Using Latest Cosmological Data
- University Mohammed V in Rabat（拉巴特穆罕默德五世大学）
- University of Mohammed first（穆罕默德一世大学）
- Hassan II University of Casablanca（卡萨布兰卡哈桑二世大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文检验含对数物态方程的$f(Q)$引力，结合最新观测数据推导哈勃参数，统计对比该模型与$\u0394$CDM模型，发现其为标准暗能量模型的有效灵活替代方案。
AI中文摘要：
本文研究幂律$f(Q)$引力框架下宇宙的晚期加速膨胀，其中考虑了对数暗能量参数化形式：$\u03c9_{de}(z)=\u03c9_0+\u03c9_1\ln(1+z)$，该描述可在全部红移范围内给出与常数物态方程的平滑偏差。我们推导了哈勃参数的解析表达式，并采用马尔可夫链蒙特卡罗方法，将该模型与最新观测数据进行对比，这些数据来自Pantheon$^+$ Ia型超新星、暗能量光谱仪第二次数据发布（DR2）的重子声学振荡测量以及宇宙计时器。随后，我们使用赤池信息准则和贝叶斯信息准则，在本模型与标准$\u0394$CDM模型之间进行统计比较。从结果可知，在$f(Q)$引力模型$f(Q)=Q+6\gamma H_0^2\left(\frac{Q}{Q_0}\right)^n$中使用对数参数化是标准暗能量模型的有效且更灵活的替代方案，因为它在低红移处提供了更丰富的现象学。
英文摘要：
In this paper, we investigate the late-time accelerated expansion of the Universe in power law $f(Q)$ gravity, where a logarithmic dark energy parametrization is considered: $ω_{de}(z)=ω_0+ω_1\ln(1+z)$. This description gives a smooth deviation from a constant equation of state within the complete range of redshifts. We obtain an analytical expression for the Hubble parameter and we use a Markov Chain Monte Carlo to compare the model with the most recent observational data obtained from Pantheon$^+$ Type Ia supernovae, Baryon Acoustic Oscillation measurements from the second data release (DR2) of the Dark Energy Spectroscopic Instrument, and Cosmic Chronometers. We then perform a statistical comparison between our model and the standard $Λ$CDM model using the Akaike Information Criterion and the Bayesian Information Criterion. From our results, we conclude that the use of logarithmic parametrization in the $f(Q)$ gravity model $f(Q)=Q+6γH_0^2\left(\frac{Q}{Q_0}\right)^n$ is a valid and more flexible alternative to standard dark energy models, as it provides a richer phenomenology at low redshifts.
