The positive energy theorem for asymptotically anti-de Sitter spacetimes

doi:10.1142/S0219199715500157

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	The positive energy theorem for asymptotically anti-de Sitter spacetimes
	Wang, Yaohua 1; Xie, Naqing 2; Zhang, Xiao3
	2015-08-01
发表期刊	COMMUNICATIONS IN CONTEMPORARY MATHEMATICS
ISSN	0219-1997
卷号	17 期号:4 页码:24
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.
关键词	General relativity the positive energy theorem asymptotically anti-de Sitter spacetime
DOI	10.1142/S0219199715500157
语种	英语
资助项目	National Science Foundation of China[11021091] ; National Science Foundation of China[11171328] ; National Science Foundation of China[11121101] ; National Science Foundation of China[11401168] ; Innovation Program of Shanghai Municipal Education Commission Grant[11ZZ01]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000356791900008
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/20173
专题	数学所
通讯作者	Wang, Yaohua
作者单位	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
推荐引用方式 GB/T 7714	Wang, Yaohua,Xie, Naqing,Zhang, Xiao. The positive energy theorem for asymptotically anti-de Sitter spacetimes[J]. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS,2015,17(4):24.
APA	Wang, Yaohua,Xie, Naqing,&Zhang, Xiao.(2015).The positive energy theorem for asymptotically anti-de Sitter spacetimes.COMMUNICATIONS IN CONTEMPORARY MATHEMATICS,17(4),24.
MLA	Wang, Yaohua,et al."The positive energy theorem for asymptotically anti-de Sitter spacetimes".COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 17.4(2015):24.