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

Autor:	Wang, Xuecheng
Rok vydání:	2022
Předmět:	Mathematics - Analysis of PDEs General Relativity and Quantum Cosmology
Druh dokumentu:	Working Paper
Popis:	We prove 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. Comment: 98 pages; comments are welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2210.00512 Zobrazit plný text záznamu View this record from Arxiv