标题： 能量条件在$f(Q, L_m)$引力中 显示英文标题

标题： Energy conditions in $f(Q, L_m)$ gravity

摘要： 我们正经历着实验宇宙学的黄金时代，精确和准确的观测被用于前所未有地约束各种引力理论。 与此同时，能量条件在评估和改进引力物理中的新提案中发挥着关键的理论作用。 我们利用平坦几何中的FLRW度规，研究了两种$f(Q, L_m)$引力模型的能量条件（WEC、NEC、DEC和SEC）。 模型1，$f(Q, L_m) = -\alpha Q + 2L_m + \beta$，具有线性参数依赖性，在满足大多数能量条件的同时，选择性地违反SEC以解释宇宙加速膨胀。 方程状态参数根据$\alpha$和$\beta$在类标量能、宇宙常数和幻影能量之间转换。 模型2，$f(Q, L_m) = -\alpha Q + \lambda (2L_m)^2 + \beta$，引入了非线性性，确保更强的SEC违反，并捕捉到如暗能量转换等复杂动力学。 虽然模型1在简洁性方面表现出色，但模型2的鲁棒性使其成为加速膨胀情景的理想选择，突显了$f(Q, L_m)$引力在解释宇宙现象方面的潜力。 显示英文摘要

摘要： We are experiencing a golden age of experimental cosmology, with exact and accurate observations being used to constrain various gravitational theories like never before. Alongside these advancements, energy conditions play a crucial theoretical role in evaluating and refining new proposals in gravitational physics. We investigate the energy conditions (WEC, NEC, DEC, and SEC) for two $f(Q, L_m)$ gravity models using the FLRW metric in a flat geometry. Model 1, $f(Q, L_m) = -\alpha Q + 2L_m + \beta$, features linear parameter dependence, satisfying most energy conditions while selectively violating the SEC to explain cosmic acceleration. The EoS parameter transitions between quintessence, a cosmological constant, and phantom energy, depending on $\alpha$ and $\beta$. Model 2, $f(Q, L_m) = -\alpha Q + \lambda (2L_m)^2 + \beta$, introduces nonlinearities, ensuring stronger SEC violations and capturing complex dynamics like dark energy transitions. While Model 1 excels in simplicity, Model 2's robustness makes it ideal for accelerated expansion scenarios, highlighting the potential of $f(Q, L_m)$ gravity in explaining cosmic phenomena.