Global stability of the Minkowski spacetime for the Einstein-Vlasov system
报告人:Xuecheng WANG(Tsinghua University)
时间:2023-02-27 16:00-17:00
地点:Room 1114, Sciences Building No. 1
Abstract: In this talk, we discuss the global stability of the Minkowski spacetime in the wave coordinates system for the massive Einstein-Vlasov system. In particular, compared with previous results by Lindblad-Taylor, in which the Vlasov part is assumed to have compact support assumption, and Fajman-Joudioux-Smulevci, in which the spacetime is assumed to be exact Schwarzschild in the exterior region, we do not impose any compact support condition for the Vlasov part and allow a large class of non-isotropic perturbations for the metric part, which decay at rate $\langle r\rangle^{-1+}$ towards space infinity.