论文标题
双空框架中的Einstein-yang-mills方程
Einstein-Yang-Mills equations in the double null framework
论文作者
论文摘要
我们证明了与耦合的爱因斯坦-yang-mills方程相关的特征初始值问题的解决方案解决方案的半全球量规不变估计。特别是，我们证明了\ textIt {a}未来开发的常规初始数据的未来开发，这些数据是在一对传入和外向的无效的高空中，这些传感器是从spacelike topolicy $ 2 $ -sphere中散发出来的。这标志着对爱因斯坦方程与非线性源的特征初始值问题的首次研究。
We prove a semi-global gauge-invariant estimate for the solutions of the characteristic initial value problem associated with the coupled Einstein-Yang-Mills equations. In particular, we prove the existence of \textit{a} future development of regular initial data on a pair of incoming and outgoing null hypersurfaces emanating from a spacelike topological $2$-sphere. This marks the first study of the characteristic initial value problem of Einstein's equations with a non-linear source.
