标题： 探针$f Q,C)$引力中的暗能量属性与 FLRW 宇宙学模型 显示英文标题

标题： Probing Dark Energy Properties in $f Q,C)$ Gravity with FLRW Cosmological Models

摘要： 本研究探讨了在 FLRW 宇宙时空背景下，$f(Q,C)$修改引力框架的宇宙学意义，这为标准 $\Lambda$冷暗物质（CDM）宇宙学提供了一种动态替代方案。 在这里，我们定义了哈勃参数的过渡形式，以解释几个几何和物理方面。 所选择的哈勃参数参数化形式代表了从减速早期宇宙到加速现在以及晚期演化的平滑过渡。 利用观测数据集，如哈勃参数、Ia 型超新星、重子声波振荡（BAO）和标准烛光（SC），我们使用马尔可夫链蒙特卡洛（MCMC）方法约束模型参数。 分析了各向同性压力、能量密度、状态方程参数和能量条件，以探索 $f(Q,C)$框架的物理可行性。 结果显示该模型能够复制关键的宇宙学行为，包括由暗能量驱动的加速膨胀。 显示英文摘要

摘要： This study delves into the cosmological implications of the $f(Q,C)$ modified gravity framework within the context of the FLRW spacetime which offers a dynamic alternative to the standard $\Lambda$CDM cosmology. Here, we define the transit form of Hubble's parameter to explain several geometrical and physical aspects. The chosen parametric form of the Hubble parameter represents a smooth transition from the decelerating early universe to the accelerating present and late-time evolution. Employing observational datasets such as the Hubble parameter, Type Ia supernovae, Baryon Acoustic Oscillations (BAO), and Standard Candles (SC), we constrain the model parameters using the Markov Chain Monte Carlo (MCMC) method. The isotropic pressure, energy density, equation of state parameter, and energy conditions were analyzed to explore the physical viability of the $f(Q,C)$ framework. The results highlight the model's ability to replicate key cosmological behaviors, including the accelerated expansion driven by dark energy.