论文标题
平坦时空上的空间无穷大的良好型系统
The good-bad-ugly system near spatial infinity on flat spacetime
论文作者
论文摘要
在Minkowski时空的Null和空间Infinity附近，研究了一种称为良好型系统的通用谐波仪表中爱因斯坦场方程的模型的方程系统。该分析是使用弗里德里奇（H.结果被转化为物理设置，以研究使用$ i^0 $ -CYLINDER框架分析线性场与通过Hörmander的渐进式启发式方法获得的多态膨胀之间的关系。
A system of equations that serves as a model for the Einstein field equation in generalised harmonic gauge called the good-bad-ugly system is studied in the region close to null and spatial infinity in Minkowski spacetime. This analysis is performed using H. Friedrich's cylinder construction at spatial infinity and defining suitable conformally rescaled fields. The results are translated to the physical set up to investigate the relation between the polyhomogeneous expansions arising from the analysis of linear fields using the $i^0$-cylinder framework and those obtained through a heuristic method based on Hörmander's asymptotic system.
