论文标题
Minkowski时空的全球稳定性
Global stability of the Minkowski spacetime for the Einstein-Vlasov system
论文作者
论文摘要
我们证明了Minkowski时空在大规模爱因斯坦-Vlasov系统的波坐标系统中的全球稳定性。特别是，与Lindblad-Taylor的先前结果相比，假定Vlasov部分具有紧凑的支持假设，而Fajman-Joudioux-Smulevci则假定时空被认为是确切的Schwarzschild在外部区域中的确切schwarzschild，我们不允许任何紧凑的条件对Vlasov的一部分，并允许vlasov部分的范围，并允许大型级别的部分倍增，并允许大量的范围替代。一部分，以$ \ langle r \ rangle^{ - 1+} $衰减的部分衰减到太空无穷大。
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.
