Research in General Relativity (Physics)

广义相对论研究（物理学）

• 批准号: 8815069
• 负责人: Demetrios Christodoulou
• 金额: $ 8.91万
• 依托单位: New York University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-07-01 至 1990-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8815069&HistoricalAwards=false
• 关键词: Research; General; Relativity; Physics

Professor Christodoulou will study the problem of the global nonlinear stability of Minkowski spacetime. This will include the complete analysis of the global asymptotic behavior of the spacetime, including the geometry of the null hypersurfaces, the maximal spacelike hypersurfaces as well as the behavior of physical quantities. It will also contain the solution of a number of problems in Riemannian geometry and partial differential equations which are of independent interest and have applications beyond the problem at hand.

Christodoulou教授将研究Minkowski时空的全局非线性稳定性问题。这将包括对时空的全局渐近行为的完整分析，包括零超曲面的几何、最大类空超曲面以及物理量的行为。它还将包含一些黎曼几何和偏微分方程问题的解，这些问题是独立感兴趣的，具有超出手头问题的应用范围。