论文标题
超越Horndeski理论和异形转化中稳定的非单明宇宙学
Stable non-singular cosmologies in beyond Horndeski theory and disformal transformations
论文作者
论文摘要
在本说明中，我们通过度量的不形式转换来收集，系统化和概括一般的Horndeski理论与Horndeski理论之间的关系的现有结果。我们得出了其他杂物转换规则，这些规则与Horndeski理论的拉格朗日功能和相应的Horndeski理论有关，并证明其中一些在某些时刻（S）在某些时刻构建了Horndeski Beyond Horndeski理论中的非单词宇宙学解决方案，这些解决方案与幽灵，梯度，梯度的重要性和强大的重力状态是自由的。这里的关键问题是，由于现有的无关定理，Horndeski理论中禁止这种解决方案。在这种情况下，奇异关系的奇异行为的证据解决了霍德斯基（Horndeski）和超越霍恩德斯基（Horndeski）理论的事实之间明显的矛盾，但在非文明宇宙学的背景下描述了不同的物理学。
In this note we collect, systemise and generalise the existing results for relations between general Horndeski theories and beyond Horndeski theories via disformal transformations of metric. We derive additional disformal transformation rules relating Lagrangian functions of beyond Horndeski theory and corresponding Horndeski theory and demonstrate that some of them become singular at some moments(s) once one constructs a non-singular cosmological solution in beyond Horndeski theory that is free from ghost, gradient instabilities and strong gravity regime during the entire evolution of the system. The key issue here is that such solutions are banned in Horndeski theory due to existing no-go theorem. The proof of singular behaviour of disformal relations in this case resolves the apparent contradiction between the fact that Horndeski and beyond Horndeski theories appear related by field redefinition but describe different physics in the context of non-singular cosmologies.
