Global Stability of the Minkowski Spacetime for the Einstein-Vlasov System
Time: 2023-02-21
Published By: He Liu
Speaker(s): Xuecheng Wang (THU)
Time: 16:00-17:00 February 27, 2023
Venue: Room 1114, Sciences Building No. 1
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.
