The global stability of Minkowski space-time in harmonic gauge

• 成果类型: Article
• 署名作者: Lindblad, Hans; Rodnianski, Igor
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• 发表日期: 2010
• 页码: 1401-1477
• 关键词: linear wave-equations; null condition; blow-up; field-equations; life-span; EXISTENCE; vacuum; PROOF

摘要

We give a new proof of the global stability of Minkowski space originally established in the vacuum case by Christodoulou and Klainerman. The new approach, which relies on the classical harmonic gauge, shows that the Einstein-vacuum and the Einstein-scalar field equations with asymptotically flat initial data satisfying a global smallness condition produce global (causally geodesically complete) solutions asymptotically convergent to the Minkowski space-time.