Positive mass theorems for high-dimensional spacetimes with black holes

doi:10.1007/s11425-011-4198-5

CSpace > 应用数学研究所

	Positive mass theorems for high-dimensional spacetimes with black holes
	Xu Xu 2; Ding Lu1
	2011-07-01
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	54 期号:7 页码:1389-1402
摘要	We give a rigorous proof of the positive mass theorem for high-dimensional spacetimes with black holes if the spacetime contains an asymptotically flat spacelike spin hypersurface and satisfies the dominant energy condition along the hypersurface. We also weaken the spin structure on the spacelike hypersurface to spin(c) structure and give a modified positive mass theorem for spacetimes with black holes in dimensions 4, 5 and 6.
关键词	positive mass black hole spinor
DOI	10.1007/s11425-011-4198-5
语种	英语
资助项目	National Natural Science Foundation of China[10901153]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000292607800008
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/11551
专题	应用数学研究所
通讯作者	Ding Lu
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Xu Xu,Ding Lu. Positive mass theorems for high-dimensional spacetimes with black holes[J]. SCIENCE CHINA-MATHEMATICS,2011,54(7):1389-1402.
APA	Xu Xu,&Ding Lu.(2011).Positive mass theorems for high-dimensional spacetimes with black holes.SCIENCE CHINA-MATHEMATICS,54(7),1389-1402.
MLA	Xu Xu,et al."Positive mass theorems for high-dimensional spacetimes with black holes".SCIENCE CHINA-MATHEMATICS 54.7(2011):1389-1402.