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arXiv 2408.04770astro-ph.CO
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$f(Q, L_m)$引力中的晚期宇宙学：解析解与观测拟合

Late-time cosmology in $f(Q, L_m)$ gravity: Analytical solutions and observational fits

Yerlan Myrzakulov, O. Donmez, M. Koussour, D. Alizhanov, S. Bekchanov, J. Rayimbaev

备注：
Physics of the Dark Universe accepted version
发表信息：
Phys. Dark Universe 46, 101614 (2024)
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AI总结：

本研究在$f(Q, L_m)$引力框架下分析线性模型，用多组观测数据约束模型参数，验证宇宙减速到加速的膨胀转变，为理解宇宙膨胀动力学提供支持。

摘要：

本研究在$f(Q, L_m)$引力框架下探究了宇宙的晚期膨胀，其中$Q$代表非度量性，$L_m$代表物质拉格朗日量。我们分析了形式为$f(Q, L_m) = -αQ + 2 L_{m} + β$的线性$f(Q, L_m)$模型。利用MCMC（马尔可夫链蒙特卡洛）方法，我们通过$H(z)$、Pantheon+SH0ES和BAO等多组数据集对模型参数$H_0$、$α$和$β$进行了约束。对于$H(z)$数据集，我们得到$H_0 = 67.90 \u00b1 0.66$，$α= 0.1072_{-0.0069}^{+0.0054}$，$β= -1988.2 \u00b1 1.0$；对于Pantheon+SH0ES数据集，$H_0 = 70.05 \u00b1 0.68$，$α= 0.0916_{-0.0033}^{+0.0028}$，$β= -1988.3 \u00b1 1.0$；对于BAO数据集，$H_0 = 68.1 \u00b1 1.0$，$α= 0.1029_{-0.0052}^{+0.0041}$，$β= -1988.24 \u00b1 0.99$。此外，能量密度始终为正且在遥远未来趋近于零；减速参数显示宇宙从减速膨胀过渡到加速膨胀，三组数据集对应的过渡红移分别为$z_t = 0.60$、$z_t = 0.78$和$z_t = 0.66$。这些发现与以往的观测研究一致，有助于我们理解宇宙的膨胀动力学。

英文摘要：

In this study, we examined the late-time cosmic expansion of the universe within the framework of $f(Q, L_m)$ gravity, where $Q$ denotes the non-metricity and $L_{m}$ represents the matter Lagrangian. We analyzed a linear $f(Q, L_m)$ model of the form $f(Q, L_m) = -αQ + 2 L_{m} + β$. Using MCMC methods, we constrained the model parameters $H_0$, $α$, and $β$ with various datasets, including $H(z)$, Pantheon+SH0ES, and BAO data. For the $H(z)$ dataset, we found $H_0 = 67.90 \pm 0.66$, $α= 0.1072_{-0.0069}^{+0.0054}$, and $β= -1988.2 \pm 1.0$. For the Pantheon+SH0ES dataset, $H_0 = 70.05 \pm 0.68$, $α= 0.0916_{-0.0033}^{+0.0028}$, and $β= -1988.3 \pm 1.0$. For the BAO dataset, $H_0 = 68.1 \pm 1.0$, $α= 0.1029_{-0.0052}^{+0.0041}$, and $β= -1988.24 \pm 0.99$. Moreover, the energy density remains positive and approaches zero in the distant future, and the deceleration parameter indicates a transition from deceleration to acceleration, with transition redshifts of $z_t = 0.60$, $z_t = 0.78$, and $z_t = 0.66$ for the respective datasets. These findings align with previous observational studies and contribute to our understanding of the universe's expansion dynamics.

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。

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