The positive energy theorem for asymptotically anti-de Sitter spacetimes

被引：7

作者：

Wang, Yaohua ^{[1
]}

Xie, Naqing ^{[2
]}

Zhang, Xiao ^{[3
]}

机构：

[1] Henan Univ, Sch Math & Stat, Kaifeng 475004, Henan, Peoples R China

[2] Fudan Univ, Inst Math, Sch Math Sci, Shanghai 200433, Peoples R China

[3] Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China

来源：

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2015年 / 17卷 / 04期

基金：

美国国家科学基金会;

关键词：

General relativity; the positive energy theorem; asymptotically anti-de Sitter; spacetime; GENERAL-RELATIVITY; COSMOLOGICAL CONSTANT; HYPERBOLIC MANIFOLDS; MASS THEOREMS; PROOF; MOMENTUM; GRAVITY;

D O I：

10.1142/S0219199715500157

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish the inequality for Henneaux-Teitelboim's total energy-momentum for asymptotically anti-de Sitter initial data sets which are asymptotic to arbitrary t-slice in anti-de Sitter spacetime. In particular, when t = 0, it generalizes Chrusciel-MaertenTod's inequality in the center of AdS mass coordinates. We also show that the determinant of energy-momentum endomorphism Q is the geometric invariant of asymptotically anti-de Sitter spacetimes.

引用

页数：24

共 50 条

[1] Positive energy theorem for asymptotically anti-de Sitter spacetimes with distributional curvature
Wang, Yaohua
Zhang, Xiao
[J]. INTERNATIONAL JOURNAL OF MATHEMATICS, 2019, 30 (13)
[2] Positive energy theorem for (4+1)-dimensional asymptotically anti-de Sitter spacetimes
Wang YaoHua
Xu Xu
[J]. SCIENCE CHINA-MATHEMATICS, 2014, 57 (02) : 389 - 396
[3] Positive energy theorem for(4+1)-dimensional asymptotically anti-de Sitter spacetimes
WANG YaoHua
XU Xu
[J]. Science China Mathematics, 2014, 57 (02) : 389 - 396
[4] Positive energy theorem for (4+1)-dimensional asymptotically anti-de Sitter spacetimes
YaoHua Wang
Xu Xu
[J]. Science China Mathematics, 2014, 57 : 389 - 396
[5] GRAVITATIONAL ENERGY IN ASYMPTOTICALLY ANTI-DE SITTER SPACETIMES
PINTONETO, N
SOARES, ID
[J]. PHYSICAL REVIEW D, 1995, 52 (10): : 5665 - 5669
[6] A positive energy theorem for asymptotically de Sitter spacetimes
Kastor, D
Traschen, J
[J]. CLASSICAL AND QUANTUM GRAVITY, 2002, 19 (23) : 5901 - 5920
[7] A generalization of the propagation of singularities theorem on asymptotically anti-de Sitter spacetimes
Dappiaggi, Claudio
Marta, Alessio
[J]. MATHEMATISCHE NACHRICHTEN, 2022, 295 (10) : 1934 - 1968
[8] Asymptotically anti-de sitter spacetimes and their stress energy tensor
Skenderis, K
[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2001, 16 (05): : 740 - 749
[9] Singularities in asymptotically anti-de Sitter spacetimes
Ishibashi, Akihiro
Maeda, Kengo
[J]. PHYSICAL REVIEW D, 2012, 86 (10):
[10] Gravitational geons in asymptotically anti-de Sitter spacetimes
Martinon, Gregoire
Fodor, Gyula
Grandclement, Philippe
Forgacs, Peter
[J]. CLASSICAL AND QUANTUM GRAVITY, 2017, 34 (12)

← 1 2 3 4 5 →