Mathematical Sciences: Problems In Differential Equations And General Relativity

数学科学：微分方程和广义相对论中的问题

• 批准号: 9203972
• 负责人: Joel Smoller
• 金额: $ 20万
• 依托单位: Regents of the University of Michigan - Ann Arbor
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1992
• 资助国家: 美国
• 起止时间: 1992-06-01 至 1995-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9203972&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Problems; Differential; Equations

The principal investigator plans to extend his recent results on the existence of nonsingular globally defined solutions of the Einstein/Yang-Mills field equations and to attempt to find asymptotically flat "black-hole" solutions whose existence would refute the so-called hair trigger conjecture. These problems impact upon both gravitational physics and relativity theory and have the potential of determining the role of geometry when gravity is modeled by Einstein's theory of relativity.

首席研究员计划延长他最近的 关于非奇异全局定义的 爱因斯坦/杨-米尔斯场方程的解， 试图找到渐近平坦的“黑洞”解决方案， 就能反驳所谓的一触即发的猜想 这些问题对引力物理学和 相对论并有可能决定角色 当引力模型是由爱因斯坦的 相对论