论文标题
带有比安奇对称性的爱因斯坦 - 波尔茨曼 - 刻板场系统的小解决方案
Small solutions of the Einstein-Boltzmann-scalar field system with Bianchi symmetry
论文作者
论文摘要
我们表明，对爱因斯坦 - 波尔茨曼 - 刻画场系统的小均匀解决方案在全球范围内存在于未来，并从适当的意义上倾向于de Sitter解决方案。更具体地说，我们假设时空是Bianchi型I-viii，即以色列颗粒描述了物质，并且存在具有阳性下限势的标量场。这代表了考虑宇宙常数的工作[19]的概括，并考虑了[16]的概括，其中考虑了空间平坦的FLRW时空。我们获得了用于小初始数据的Einstein-Boltzmann-Scalar场系统的经典解决方案的全球存在和渐近行为。
We show that small homogeneous solutions to the Einstein-Boltzmann-scalar field system exist globally towards the future and tend to the de Sitter solution in a suitable sense. More specifically, we assume that the spacetime is of Bianchi type I--VIII, that the matter is described by Israel particles and that there exists a scalar field with a potential which has a positive lower bound. This represents a generalization of the work [19], where a cosmological constant was considered, and a generalization of [16], where a spatially flat FLRW spacetime was considered. We obtain the global existence and asymptotic behavior of classical solutions to the Einstein-Boltzmann-scalar field system for small initial data.
