标题： 爱因斯坦高斯-博内引力中的动力系统 显示英文标题

标题： Dynamical systems in Einstein Gauss-Bonnet gravity

摘要： 在本工作中，我们探讨了爱因斯坦-高斯-博内理论在宇宙学极小超空间中的动力系统相空间。这种方法通过一组自主微分方程结合了该理论的主要特征，在平坦的弗里德曼-勒梅特-罗伯逊-沃尔克时空背景下。我们分析了该系统中出现的临界点，以评估其稳定性条件。由于高斯-博内不变量的四阶贡献以及标量场的二阶贡献及其耦合动力学，这种标量-张量引力的相空间非常丰富。与文献中以前的工作相比，我们发现了额外的临界点，这可能对于理解此类引力模型中标准背景宇宙学的更大演化非常重要。 显示英文摘要

摘要： In this work we explore the dynamical system phase space of Einstein-Gauss-Bonnet theory in the cosmological minisuperspace. This approach binds the main features of the theory through a system of autonomous differential equations, in the context of a flat Friedmann-Lema\^{i}tre-Robertson-Walker spacetime. We analyze the critical points that feature in this system to assess their stability criteria. The phase space of this form of scalar-tensor gravity is very rich due to the fourth-order contributions of the Gauss-Bonnet invariant together with the second order contribution of the scalar field together with their coupling dynamics. We find additional critical points as compared with previous works in the literature which may be important for understanding the larger evolution of standard background cosmology within this class of gravitational models.