标题： 非局部引力宇宙学的相空间观点 显示英文标题

标题： The phase-space view of non-local gravity cosmology

摘要： 我们考虑在均匀和各向同性宇宙背景下的非局部积分核引力理论，作为驱动宇宙历史的一种可能情景。 特别是，我们研究了一个包含里奇标量的逆达朗贝尔算子的引力作用量的宇宙学性质，该作用量被提出用于在高能和低能 regimes 改进爱因斯坦引力。 特别是，通过将宇宙学方程重新表述为具有无量纲变量的一阶微分方程自治系统，详细分析了一个物理上合理的非局部指数耦合的动力学。 因此，我们研究了相空间域及其临界点，探讨了它们的稳定性和主要性质。 特别是，根据模型的自由参数，讨论了鞍点和晚期宇宙学吸引子。 最后，我们从暗能量行为和$\Lambda$CDM 模型的角度讨论了我们方法的主要物理后果。 显示英文摘要

摘要： We consider non-local Integral Kernel Theories of Gravity in a homogeneous and isotropic universe background as a possible scenario to drive the cosmic history. In particular, we investigate the cosmological properties of a gravitational action containing the inverse d'Alembert operator of the Ricci scalar proposed to improve Einstein's gravity at both high and low-energy regimes. In particular, the dynamics of a physically motivated non-local exponential coupling is analyzed in detail by recasting the cosmological equations as an autonomous system of first-order differential equations with dimensionless variables. Consequently, we study the phase-space domain and its critical points, investigating their stability and main properties. In particular, saddle points and late-time cosmological attractors are discussed in terms of the free parameters of the model. Finally, we discuss the main physical consequences of our approach in view of dark energy behavior and the $\Lambda$CDM model.