标题： 在使用类星体和$H(z)$数据约束非最小耦合$f(Q)$宇宙学中的广义 Chaplygin 气体 显示英文标题

标题： Constraining Generalized Chaplygin Gas in Non-Minimally Coupled $f(Q)$ Cosmology using Quasars and $H(z)$ Data

摘要： 在爱因斯坦广义相对论（GR）的当前框架中，引力由时空曲率描述。 然而，还有其他描述方式，其中引力的起源可以通过扭力和非度规性$Q$来理解。 在本工作中，我们讨论一种修改的引力理论，即$f(Q)$引力，它考虑了$Q$的非线性扩展。 特别是，我们研究其与物质非最小耦合的情况。 受最近 Chaplygin 气体模型在解释暗能量方面的成功启发，我们假设压强为零的重子物质和广义 Chaplygin 气体作为背景流体。 我们使用两种不同的数据集对所提出的模型进行约束：一个用于哈勃测量，另一个用于类星体（我们进行了校准）并使用马尔可夫链蒙特卡罗（MCMC）方法。 我们采用运动学工具，如减速参数和急动参数，以确定所提出模型与$\Lambda$CDM 的偏差。 我们确定在减速参数$q$中的过渡红移$z_T$分别为$0.607$和$0.204$，因此描述了宇宙的加速膨胀。 显示英文摘要

摘要： In the current framework of Einstein's equations in general relativity (GR), gravity is described by the spacetime curvature. However, there are other descriptions where the origin of gravity can be understood through torsion and non-metricity $Q$. In this work, we discuss a modified theory of gravity namely $f(Q)$ gravity, which considers a non-linear extension of $Q$. In particular, we study the case where it is non-minimally coupled to matter. Motivated by the recent success of Chaplygin gas models in the explanation of dark energy, we assume a pressureless baryonic matter and a generalized Chaplygin gas as the background fluid. We constrain the proposed model using two different datasets: one for Hubble measurements and the other for quasars (which we calibrated) with Markov-Chain Monte Carlo (MCMC) methods. We employ kinematic tools such as deceleration and jerk parameters to determine deviations of the proposed model from $\Lambda$CDM. We establish that the transition redshift $z_T$ in the deceleration parameter $q$ is $0.607$ and $0.204$ with the two datasets respectively, therefore describing the universe's acceleration.