Global Regularity for Einstein-Klein-Gordon System with U(1)× R Isometry Group,Ⅰ

• 作者: Haoyang CHEN Yi ZHOU
• 来源期刊: 数学年刊B辑（英文版）
• 年，卷（期）: 2020,（6）
• 页码范围: 939-966
• 页数: 28页
• 语种: 英文
• DOI: 10.1007/s11401-020-0240-7

摘要

This is the first of the two papers devoted to the study of global regularity of the 3+1 dimensional Einstein-Klein-Gordon system with a U(1)×R isometry group.In this first part,the authors reduce the Cauchy problem of the Einstein-Klein-Gordon system to a 2+1 dimensional system.Then,the authors will give energy estimates and construct the null coordinate system,under which the authors finally show that the first possible singularity can only occur at the axis.