Construction of Cauchy data of vacuum Einstein field equations evolving to black holes

• 成果类型: Article
• 署名作者: Li, Junbin; Yu, Pin
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2015.181.2.6
• 发表日期: 2015
• 页码: 699-768
• 关键词: finite curvature flux; constraint equations; METRICS

摘要

We show the existence of complete, asymptotically flat Cauchy initial data for the vacuum Einstein field equations, free of trapped surfaces, whose future development must admit a trapped surface. Moreover, the datum is exactly a constant time slice in Minkowski space-time inside and exactly a constant time slice in Kerr space-time outside. The proof makes use of the full strength of Christodoulou's work on the dynamical formation of black holes and Corvino-Schoen's work on the construction of initial data sets.