论文标题
修饰重力中的宇宙学动力系统
Cosmological dynamical systems in modified gravity
论文作者
论文摘要
在考虑均质和各向同性宇宙学模型时，修饰的重力理论的场方程始终成为自主微分方程。这取决于这样一个事实，即在此类模型中，所有变量仅取决于宇宙学时间或另一个适当选择的时间参数。因此，始终可以将场方程施加到动态系统的形式中，这是一种成功研究此类模型的方法。我们提出了一种适用于许多不同修改的重力模型的观点，并且仅依赖于标准的宇宙学密度参数，从而使我们对变量模型的选择独立。我们方法的缺点是一个更复杂的约束方程。我们证明了研究各种修饰的重力模型的过程，并在考虑特定模型之前可以提取多少通用信息。
The field equations of modified gravity theories, when considering a homogeneous and isotropic cosmological model, always become autonomous differential equations. This relies on the fact that in such models all variables only depend on cosmological time, or another suitably chosen time parameter. Consequently, the field equations can always be cast into the form of a dynamical system, a successful approach to study such models. We propose a perspective that is applicable to many different modified gravity models and relies on the standard cosmological density parameters only, making our choice of variables model independent. The drawback of our approach is a more complicated constraint equation. We demonstrate our procedure studying various modified gravity models and show how much generic information can be extracted before a specific model is considered.
