标题： 渐近-null叶状结构上的牛顿极限 显示英文标题

标题： The Newtonian Limit on Asymptotically Null Foliations

摘要： 通过适当地重新调整共形爱因斯坦方程，我们可以应用偏微分方程理论中的最新结果，并证明它们在初始曲面${\cal I}^+$未来邻域内存在慢速解。 所得到的方程结构允许我们将初始数据（直到任意给定阶数）分为两类：一类生成慢速解，即由源驱动的解；另一类生成快速解，即代表与源无关的引力辐射的解。 因此，实际上提出了一个建议，即为没有额外辐射的解指定初始数据，其阶数取决于每个特定应用的需求。 显示英文摘要

摘要： By suitably re-scaling the conformal Einstein's equations we are able to apply recent results in the theory of PDE, and prove that they possess slow solutions in a future neighborhood of an initial surface reaching ${\cal I}^+$. The structure of the equations obtained allows to split (up to any given order) the initial data into those generating slow solutions, i.e., those driven by the sources, and those generating fast solutions, i.e., those which represent gravitational radiation with no relation to the sources. Thus effectively resulting in a proposal to prescribe initial data for solutions with no extra radiation up to the order needed for each given application.