论文标题
爱因斯坦 - 马克斯韦尔系统的关键尺度捕获的表面形成标准
A scale-critical trapped surface formation criterion for the Einstein-Maxwell system
论文作者
论文摘要
在这项研究中，我们表明，从任意分散的初始数据中，电磁场的浓度和引力波的聚焦都可能导致捕获表面的形成。我们通过将衰减速率的签名分配给几何量和麦克斯韦组件，从而建立了由Einstein-Maxwell系统的过去无效的半全球存在。该结果概括了第一作者通过采用其他椭圆形估计和几何重量化来研究爱因斯坦真空方程的方法，并且还将YU的结果扩展到了临界范围。
In this study we show that, from arbitrarily dispersed initial data, both the concentration of electromagnetic fields and the focusing of gravitational waves could lead to the formation of trapped surfaces. We establish a scale-critical semi-global existence result from the past null infinity for the Einstein-Maxwell system by assigning the signature for decay rates to geometric quantities and Maxwell components. This result generalizes an approach of the first author on studying Einstein vacuum equations by employing additional elliptic estimates and geometric renormalizations, and it also extends a result of Yu to the scale-critical regime.
