Global Studies of Einstein Spacetimes
爱因斯坦时空的全球研究
基本信息
- 批准号:0963869
- 负责人:
- 金额:$ 22.35万
- 依托单位:
- 依托单位国家:美国
- 项目类别:Continuing Grant
- 财政年份:2010
- 资助国家:美国
- 起止时间:2010-07-01 至 2013-06-30
- 项目状态:已结题
- 来源:
- 关键词:
项目摘要
This award supports projects to explore fundamental issues in Einstein's general theory of relativity (GR). One project examines the evolution of spacetimes to see if the development of singularities that signal the breakdown of GR can occur in nature only inside black holes and, within black holes, can be visible only to observers who run into them. This is called the Cosmic Censorship Conjecture. This question will be addressed through continued development of lightcone estimates for the Einstein equations that parallel those that have already been developed for the Yang-Mills-Higgs equations. The objective will be to show that spacetime curvature cannot blow up (pointwise) in a (vacuum) solution to Einstein's equations until the integrated (Bel-Robinson) energy for curvature blows up. Another project will be to continue the development of improved numerical methods for the study of black hole collisions. Recent work has established the regularity of the (conformally transformed) ADM evolution equations at null infinity. This result and its potential generalizations will be applied to actual numerical calculations.The cosmic censorship conjecture is often considered to be the main open mathematical problem in classical general relativity. Cosmic censorship is the natural analogue, for Einstein's equations, of the global existence property for Minkowski space field theories and so it seems very plausible that techniques that have proven successful in the analysis of the latter should have something important to contribute to the former. In addition, any significant progress on the development of improved numerical methods for the analysis of black hole collisions can be anticipated to strongly influence the ongoing worldwide efforts to numerically model these important astrophysical processes and ultimately to impact LIGO and LISA observations. Much of this research should be of interest to mathematicians. Development of improved numerical methods for the computation of gravitational waves from colliding black holes could have an impact on the experimental search for such radiation. Postdoctoral fellows and graduate students are expected to play key roles in these projects.
该奖项支持探索爱因斯坦广义相对论(GR)基本问题的项目。其中一个项目考察了时空的演化,以确定标志着GR崩溃的奇点的发展是否只会发生在黑洞内部,而且在黑洞内部,只有撞到黑洞的观察者才能看到。这被称为宇宙审查猜想。这个问题将通过对爱因斯坦方程的光锥估计的持续发展来解决,该估计与已经为杨-米尔斯-希格斯方程开发的那些方程平行。目标是证明时空曲率在(真空)解中(点方向)不会爆炸,直到曲率的积分(Bel—Robinson)能量爆炸。另一个项目将是继续发展改进的黑洞碰撞研究的数值方法。最近的工作建立了(共形变换)ADM演化方程在零无穷远处的规律性。这一结果及其潜在的推广将应用于实际的数值计算。宇宙审查猜想通常被认为是经典广义相对论中主要的开放数学问题。宇宙审查是爱因斯坦方程的自然类似物,闵可夫斯基空间场论的全局存在性,因此,在后者的分析中被证明成功的技术应该对前者有重要的贡献,这似乎是非常合理的。此外,在改进黑洞碰撞分析数值方法方面的任何重大进展都可以预期将强烈影响正在进行的世界范围内对这些重要天体物理过程进行数值模拟的努力,并最终影响LIGO和LISA的观测。数学家应该会对这方面的许多研究感兴趣。计算黑洞碰撞产生的引力波的改进数值方法的发展可能会对这种辐射的实验研究产生影响。博士后和研究生将在这些项目中发挥关键作用。
项目成果
期刊论文数量(0)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
数据更新时间:{{ journalArticles.updateTime }}
{{
item.title }}
{{ item.translation_title }}
- DOI:
{{ item.doi }} - 发表时间:
{{ item.publish_year }} - 期刊:
- 影响因子:{{ item.factor }}
- 作者:
{{ item.authors }} - 通讯作者:
{{ item.author }}
数据更新时间:{{ journalArticles.updateTime }}
{{ item.title }}
- 作者:
{{ item.author }}
数据更新时间:{{ monograph.updateTime }}
{{ item.title }}
- 作者:
{{ item.author }}
数据更新时间:{{ sciAawards.updateTime }}
{{ item.title }}
- 作者:
{{ item.author }}
数据更新时间:{{ conferencePapers.updateTime }}
{{ item.title }}
- 作者:
{{ item.author }}
数据更新时间:{{ patent.updateTime }}
Vincent Moncrief其他文献
Gauge symmetries of Yang-Mills fields
- DOI:
10.1016/0003-4916(77)90018-5 - 发表时间:
1977-10-01 - 期刊:
- 影响因子:
- 作者:
Vincent Moncrief - 通讯作者:
Vincent Moncrief
Hamiltonian reduction and perturbations of continuously self-similar (n + 1)-dimensional Einstein vacuum spacetimes
连续自相似(n 1)维爱因斯坦真空时空的哈密顿量约简和摄动
- DOI:
- 发表时间:
2002 - 期刊:
- 影响因子:0
- 作者:
Arthur E Fischer;Vincent Moncrief - 通讯作者:
Vincent Moncrief
A method of reduction of Einstein's equations of evolution and a natural symplectic structure on the space of gravitational degrees of freedom
- DOI:
10.1007/bf02105424 - 发表时间:
1996-02-01 - 期刊:
- 影响因子:2.800
- 作者:
Arthur E. Fischer;Vincent Moncrief - 通讯作者:
Vincent Moncrief
Quantum linearization instabilities
- DOI:
10.1007/bf00756792 - 发表时间:
1979-02-01 - 期刊:
- 影响因子:2.800
- 作者:
Vincent Moncrief - 通讯作者:
Vincent Moncrief
Can one ADM quantize relativistic bosonicstrings and membranes?
- DOI:
10.1007/s10714-006-0247-8 - 发表时间:
2006-03-24 - 期刊:
- 影响因子:2.800
- 作者:
Vincent Moncrief - 通讯作者:
Vincent Moncrief
Vincent Moncrief的其他文献
{{
item.title }}
{{ item.translation_title }}
- DOI:
{{ item.doi }} - 发表时间:
{{ item.publish_year }} - 期刊:
- 影响因子:{{ item.factor }}
- 作者:
{{ item.authors }} - 通讯作者:
{{ item.author }}
{{ truncateString('Vincent Moncrief', 18)}}的其他基金
Global Studies of Einstein Spacetimes
爱因斯坦时空的全球研究
- 批准号:
1305766 - 财政年份:2013
- 资助金额:
$ 22.35万 - 项目类别:
Standard Grant
GLOBAL STUDIES OF EINSTEIN SPACETIMES
爱因斯坦时空的全球研究
- 批准号:
0647331 - 财政年份:2007
- 资助金额:
$ 22.35万 - 项目类别:
Continuing Grant
Global Studies of Einstein Spacetimes
爱因斯坦时空的全球研究
- 批准号:
0354391 - 财政年份:2004
- 资助金额:
$ 22.35万 - 项目类别:
Standard Grant
GLOBAL STUDIES OF EINSTEIN SPACETMES
爱因斯坦空间的全球研究
- 批准号:
0098084 - 财政年份:2001
- 资助金额:
$ 22.35万 - 项目类别:
Continuing Grant
Relativistic Astrophysics and Gravitation Physics
相对论天体物理学和引力物理学
- 批准号:
9732629 - 财政年份:1998
- 资助金额:
$ 22.35万 - 项目类别:
Continuing Grant
U.S.-France Cooperative Research: Global Studies of Einstein Spacetimes
美法合作研究:爱因斯坦时空的全球研究
- 批准号:
9512787 - 财政年份:1996
- 资助金额:
$ 22.35万 - 项目类别:
Continuing Grant
Relativistic Astrophysics and Gravitation Physics
相对论天体物理学和引力物理学
- 批准号:
9503133 - 财政年份:1995
- 资助金额:
$ 22.35万 - 项目类别:
Continuing Grant
Relativistic Astrophysics and Gravitation Physics
相对论天体物理学和引力物理学
- 批准号:
9201196 - 财政年份:1992
- 资助金额:
$ 22.35万 - 项目类别:
Continuing Grant
U.S.-France Cooperative Research: Global Studies of Einstein Spacetimes
美法合作研究:爱因斯坦时空的全球研究
- 批准号:
9015153 - 财政年份:1991
- 资助金额:
$ 22.35万 - 项目类别:
Standard Grant
Relativistic Astrophysics and Gravitational Physics
相对论天体物理学和引力物理学
- 批准号:
8903939 - 财政年份:1989
- 资助金额:
$ 22.35万 - 项目类别:
Continuing Grant
相似海外基金
Fundamental Studies of Bose-Einstein Condensates of Polaritons
极化子玻色-爱因斯坦凝聚体的基础研究
- 批准号:
2004570 - 财政年份:2020
- 资助金额:
$ 22.35万 - 项目类别:
Standard Grant
Mathematical and Computational Studies on Bose-Einstein Superfluid
玻色-爱因斯坦超流体的数学和计算研究
- 批准号:
1913293 - 财政年份:2019
- 资助金额:
$ 22.35万 - 项目类别:
Standard Grant
Geometric-Analytic Studies of the Einstein Equations and Other Partial Differential Equations
爱因斯坦方程和其他偏微分方程的几何分析研究
- 批准号:
1811819 - 财政年份:2018
- 资助金额:
$ 22.35万 - 项目类别:
Continuing Grant
Global Studies of Einstein Spacetimes
爱因斯坦时空的全球研究
- 批准号:
1305766 - 财政年份:2013
- 资助金额:
$ 22.35万 - 项目类别:
Standard Grant
GLOBAL STUDIES OF EINSTEIN SPACETIMES
爱因斯坦时空的全球研究
- 批准号:
0647331 - 财政年份:2007
- 资助金额:
$ 22.35万 - 项目类别:
Continuing Grant
Global Studies of Einstein Spacetimes
爱因斯坦时空的全球研究
- 批准号:
0354391 - 财政年份:2004
- 资助金额:
$ 22.35万 - 项目类别:
Standard Grant
Theoretical studies of quantum vortices in Bose-Einstein condensates
玻色-爱因斯坦凝聚体中量子涡旋的理论研究
- 批准号:
15340121 - 财政年份:2003
- 资助金额:
$ 22.35万 - 项目类别:
Grant-in-Aid for Scientific Research (B)
GLOBAL STUDIES OF EINSTEIN SPACETMES
爱因斯坦空间的全球研究
- 批准号:
0098084 - 财政年份:2001
- 资助金额:
$ 22.35万 - 项目类别:
Continuing Grant
Studies on Einstein Metrics and Related Topics
爱因斯坦度量及相关主题的研究
- 批准号:
0072591 - 财政年份:2000
- 资助金额:
$ 22.35万 - 项目类别:
Continuing Grant
U.S.-France Cooperative Research: Global Studies of Einstein Spacetimes
美法合作研究:爱因斯坦时空的全球研究
- 批准号:
9512787 - 财政年份:1996
- 资助金额:
$ 22.35万 - 项目类别:
Continuing Grant