RUI: Studies of Singularities

RUI：奇点研究

• 批准号: 9722039
• 负责人: David Garfinkle
• 金额: $ 6.9万
• 依托单位: Oakland University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1997
• 资助国家: 美国
• 起止时间: 1997-07-01 至 2000-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9722039&HistoricalAwards=false
• 关键词: RUI; Studies; Singularities

The singularity theorems tell us that singularities form in a large class of spacetimes, including the physically relevant cases of the big bang and of the gravitational collapse of a star to form a black hole. However, these theorems tell us very little about the nature of the singularities. For example, we would like to know the entire class of incomplete observers, how the curvature behaves along their world lines and whether they can see the singularity before they hit it. Since we do not have the general solution of Einstein's equation in closed form, it is proposed to use all the methods available for the study of singularities: (i) to find exact solutions and study their singularities, (ii) to examine, in a general way the behavior of classes of singular spacetimes, or (iii) to perform a numerical study of spacetimes with singularities to address these issues. ½¼^¡&ú¼^¼(½

奇点定理告诉我们，奇点形成在一大类时空中，包括大爆炸和恒星引力坍塌形成黑洞的物理相关情况。然而，这些定理很少告诉我们奇点的性质。例如，我们想知道整类不完整的观察者，曲率是如何沿着他们的世界线表现的，以及他们是否能在击中奇点之前看到它。由于我们没有封闭形式的爱因斯坦方程的通解，因此建议使用所有可用的方法来研究奇点：(I)找到精确解并研究它们的奇性，(Ii)以一般的方式研究奇性时空的行为，或(Iii)对具有奇性的时空进行数值研究来解决这些问题。1/5“和1/4(1/2)