中科院数学与系统科学研究院
数学研究所
数学物理研讨班
报告人： 王金花 教授（厦门大学）
题 目：Future stability of the 1 + 3 Milne model for the Einstein–Klein –Gordon system
时 间：2021.06.18（星期五），14:00-15:00
地 点：腾讯会议 ID：445 584 468
摘 要：We study the small perturbations of the 1 + 3-dimensional Milne model for the Einstein–Klein–Gordon (EKG) system. We prove the nonlinear future stability, and show that the perturbed spacetimes are future causally geodesically complete. For the proof, we work within the constant mean curvature (CMC) gauge and focus on the 1 + 3 splitting of the Bianchi–Klein–Gordon equations. Moreover, we treat the Bianchi–Klein–Gordon equations as evolution equations and establish the energy scheme in the sense that we only commute the Bianchi–Klein–Gordon equations with spatially covariant derivatives while normal derivative is not allowed. We propose some refined estimates for lapse and the hierarchies of energy estimates to close the energy argument.
附件：