Numerical Studies of Singularities and Black Holes

奇点和黑洞的数值研究

• 批准号: 1205202
• 负责人: David Garfinkle
• 金额: $ 13.5万
• 依托单位: Oakland University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2012
• 资助国家: 美国
• 起止时间: 2012-05-01 至 2016-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1205202&HistoricalAwards=false
• 关键词: Numerical; Studies; Singularities; Black; Holes

This project will use computer simulations to explore the consequences of gravitational collapse and the formation of black holes and spacetime singularities. The small scale structure of general singularities will be studied in detail. In particular the suitability of such singularities as precursors for the initial singularity of the big bang will be explored. Simulations will also be done of the interior of a black hole to see whether the inner horizon of the black hole is replaced by a null singularity. Simulations will also be done of critical gravitational collapse and of gravitational collapse with a negative cosmological constant.The simulations of gravitational collapse as a possible precursor of the Big Bang are a promising approach to the question of "where did the universe come from?" Critical gravitational collapse is analogous to phase transitions in condensed matter physics and thus points to deep connections between two very different areas of physics. Gravitational collapse with a negative cosmological constant is connected through the so called AdS/CFT correspondence to such diverse physical systems as colliding heavy ion beams and high temperature superconductors.

该项目将使用计算机模拟来探索引力坍缩、黑洞形成和时空奇点的后果。本文将详细研究一般奇点的小尺度结构。特别地，这些奇点作为大爆炸初始奇点的前体的适宜性将被探讨。还将对黑洞内部进行模拟，以观察黑洞的内部视界是否被零奇点所取代。还将进行临界引力坍缩和负宇宙常数引力坍缩的模拟。模拟引力坍缩可能是大爆炸的前兆，这是解决“宇宙从何而来”这个问题的一个很有希望的方法。临界引力坍缩类似于凝聚态物理中的相变，因此指出了两个非常不同的物理领域之间的深层联系。具有负宇宙常数的引力坍缩通过所谓的AdS/CFT对应关系与碰撞重离子束和高温超导体等多种物理系统联系在一起。