Research-Global stability of the Minkowski spacetime for the Einstein-Vlasov system

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Global stability of the Minkowski spacetime for the Einstein-Vlasov system

Speaker: Xuecheng WANG（Tsinghua University）
Time: Dec 2, 2024, 14:00-15:00
Location: 237B, Taizhou Hall

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 <r>-1+ towards space infinity.