$f(R,L_m)$引力中采用Gong-Zong参数化的宇宙学模型
Cosmological model with Gong-Zong Parametrization in $f(R,L_m)$ gravity
AI总结：
本研究在$f(R, L_m)=\frac{R}{2}+L_{m}^α$引力框架下，结合两种形式的暗能量状态方程参数推导宇宙膨胀率，通过贝叶斯方法结合观测数据确定参数中位值，验证了模型与晚期天文观测的兼容性。
摘要：
我们利用暗能量状态方程（EoS）参数，研究了$f(R, L_m)$引力中的宇宙膨胀图景。我们采用$f(R, L_m)$引力的具体形式：$f(R, L_m)=\frac{R}{2}+L_{m}^α$。针对两种不同形式的EoS参数，我们推导了以红移表示的膨胀率：第一个模型中EoS参数与红移成反比，第二个模型中EoS参数包含红移的指数形式。我们采用基于$\chi^2$最小化技术的贝叶斯方法，利用宇宙计时钟（CC）数据集和联合（CC+Pantheon）数据集确定了模型参数的中位值。我们深入分析了减速参数、能量密度、压强等基本宇宙学参数的演化行为。此外，Statefinder诊断的性质和宇宙当前年龄的结果，均与晚期天文观测结果相符。
英文摘要：
We present the cosmic expansion scenarios in the $f(R, L_m)$ gravity studied by using the dark energy equation of state (EoS) parameters. We proceed with the specific form of $f(R, L_m)$ gravity termed as $f(R, L_m)=\frac{R}{2}+L_{m}^α$. We derive the expansion rate in terms of the red-shift for two different forms of EoS parameter. In first model, EoS parameter varies inversely with the redshift and in second model, it involves the exponential form with the redshift. By using the Bayesian methods based on the $χ^{2}$-minimization technique, the median values of model parameters are determined for the cosmic chronometer(CC) and Joint (CC+Pantheon) data sets. The behavior of fundamental cosmological parameters such as the deceleration parameter, energy density and pressure are thoroughly examined. Additionally, the nature of Statefinder diagnostics and the present age of universe exemplifies the compatibility with the late-time astronomical observations.
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