论文标题
多尺度宇宙学模型的二次积分
Quadratic integrals of a multi-scalar cosmological model
论文作者
论文摘要
在零空间曲率的FRW时空的背景下，我们以获得二次保护定律为借口考虑了一个多尺度张量宇宙学模型。我们提出了标量场的两个新相互作用势。这项任务不可或缺的是存在动力学对称性的，即物理系统的lie-bäcklund变换。最后，发现该场的分析解决方案与每个新模型相对应。在其中一种模型中，我们发现比例因子模仿了特殊情况下的$λ$ cosmology。
In the context of FRW spacetime with zero spatial curvature, we consider a multi-scalar tensor cosmology model under the pretext of obtaining quadratic conservation laws. We propose two new interaction potentials of the scalar field. Integral to this task, is the existence of dynamical Noether symmetries which are Lie-Bäcklund transformations of the physical system. Finally, analytical solutions of the field are found corresponding to each new model. In one of the models, we find that the scale factor mimics $Λ$-cosmology in a special case.
