论文标题
标量字段的动力学方面，与Riemann Tensor的立方收缩结合
Dynamical aspects for scalar fields coupled to cubic contractions of the Riemann tensor
论文作者
论文摘要
本文研究了一种新型的暗能量，这是一个具有正或负动能的标量场，通常耦合到一个由Riemann张量的特定收缩组成的术语。在介绍了所得场方程后，我们通过实现线性稳定性理论分析了相应模型的物理特征。在指数耦合函数和指数势能的情况下，我们推断了相空间特征，分析获得的临界点可以代表宇宙演化中的特定时代。分析研究表明，该模型可以代表可行的宇宙学设置，其各种时期对应于刚性，物质的统治和暗能量时代，指向加速膨胀的出现作为几何效应。
The paper studies a new type of dark energy, a scalar field with positive or negative kinetic energy, generically coupled to a term which is composed by specific contractions of the Riemann tensor. After presenting the resulting field equations, we have analyzed the physical characteristics of the corresponding model by implementing the linear stability theory. In the case of an exponential coupling function and exponential potential energy we have deduced the phase space characteristics, analyzing the critical points obtained which can represent specific eras in the evolution of the Universe. The analytical study is showing that this model can represent a feasible cosmological setup, having various epochs which correspond to stiff-fluid, matter domination, and dark energy eras, pointing towards the emergence of the accelerated expansion as a geometrical effect.
