修正引力二次理论中Einstein宇宙和de Sitter宇宙的稳定性
Stability of Einstein and de Sitter Universes in the Quadratic Theory of Modified Gravity
摘要：
我们考虑爱因斯坦静态和德西特宇宙的解决方案，并检查他们的不稳定性在一个子类的二次修正引力理论。纳什提出的这种修正是对广义相对论的推广。有趣的是，我们发现爱因斯坦静态宇宙在修正引力的背景下是不稳定的。与爱因斯坦静态宇宙相反，de Sitter宇宙在二阶以下的度规扰动下保持稳定。
英文摘要：
We consider the Einstein static and the de Sitter universe solutions and examine their instabilities in a subclass of quadratic modified theories for gravity. This modification proposed by Nash is an attempt to generalize general relativity. Interestingly, we discover that the Einstein static universe is unstable in the context of the modified gravity. In contrast to Einstein static universe, the de Sitter universe remains stable under metric perturbation up to the second order.
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