标题： 宇宙膨胀与$f(R,T,R_{μν}T^{μν})$引力中的诺特定则规范对称性 显示英文标题

标题： Cosmic Expansion and Noether Gauge Symmetries in $f(R,T,R_{μν}T^{μν})$ Gravity

摘要： 本工作探讨了充满尘埃流体的各向同性均匀平坦宇宙在非最小耦合引力中的不同演化阶段。 我们考虑这种引力的不同模型，使用诺特定则规范对称性方案讨论对称生成元及守恒积分的存在。 在大多数情况下，我们得到时间对称性和标度对称性，分别导致能量和动量的守恒。 在没有收缩的里奇张量和能动张量的情况下，我们得到最大对称性，但其中没有一种对应于任何标准对称性或守恒定律。 我们提出了精确解，并构建了标准宇宙学参数的图形分析。 我们通过声速平方、Dolgov-Kawasaki不稳定性提出的可行性条件以及状态寻找参数来观察新模型的现实性。 我们研究了分数密度的行为，并检查与普朗克2018观测数据的兼容性。 新模型是稳定且可行的，保持与$\Lambda$CDM和 Chaplygin气体模型的兼容性。 结论是，大部分解倾向于加速的宇宙膨胀。 显示英文摘要

摘要： The present work explores different evolutionary phases of isotropically homogeneous and flat cosmos filled with dust fluid in non-minimally coupled gravity. We consider different models of this gravity to discuss the presence of symmetry generators together with conserved integrals using Nother Gauge symmetry scheme. In most of the cases, we obtain temporal and scaling symmetries that yield conservation of energy and linear momentum, respectively. In the absence of contracted Ricci and energy-momentum tensors, we obtain maximum symmetries but none of them correspond to any standard symmetry or conservation law. We formulate exact solutions and construct graphical analysis of standard cosmological parameters. We observe realistic nature of new models via squared speed of sound, viability conditions suggested by Dolgov-Kawasaki instability and state-finder parameters. We investigate the behavior of fractional densities and check the compatibility with Planck 2018 observational data. The new models are stable and viable preserving compatibility with $\Lambda$CDM and Chaplygin gas models. It is concluded that most of the solutions favor accelerated cosmic expansion.