Existence of radiating Einstein-Maxwell solutions which are C∞ on all of I+ and I$
Existence of radiating Einstein-Maxwell solutions which are C∞ on all of I+ and I$
复制标题
存在辐射爱因斯坦-麦克斯韦解，在所有 I+ 和 I$ 上均为 C∞
DOI：
10.1088/0264-9381/6/4/006
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发表时间：
1989
影响因子：
3.5
通讯作者：
R. Wald
中科院分区：
文献类型：
--
作者：
C. Cutler;R. Wald
作者给出了在 R3 上构造爱因斯坦-麦克斯韦约束方程的 Cinfinity 解的方法，该解接近平坦的初始数据，并且恰好是紧凑区域之外的真空 Schwarzschild 初始数据。他们使用 Friedrich (1988) 的定理推广来证明这些初始数据集的最大演化是 Cinfinity - 一致地可扩展到未来和过去的零和类时无穷大、I+、i+、I- 和 i-。这证明了辐射解的存在，这些解在过去和未来都是平滑渐近平坦的。
The authors give a prescription for constructing Cinfinity solutions of the Einstein-Maxwell constraint equations on R3 which are close to flat initial data and which are exactly vacuum Schwarzschild initial data outside of a compact region. They use a generalisation of a theorem due to Friedrich (1988) to prove that the maximal evolution of these initial data sets are Cinfinity -conformally extendible to future and past null and timelike infinity, I+, i+, I- and i-. This establishes the existence of radiating solutions which are smoothly asymptotically flat in both the past and future.