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From bending of light to positive mass: A non-PDE perspective
He, Xiaokai1; Wu, Xiaoning2,3; Xie, Naqing4
2021-06-01
发表期刊JOURNAL OF MATHEMATICAL PHYSICS
ISSN0022-2488
卷号62期号:6页码:7
摘要Penrose et al. investigated the physical incoherence of the spacetime with negative mass via the bending of light. Precise estimates of the time-delay of null geodesics were needed and played a pivotal role in their proof. In this paper, we construct an intermediate diagonal metric and reduce this problem to a causality comparison in the compactified spacetimes regarding timelike connectedness near conformal infinities. This different approach allows us to avoid encountering the difficulties and subtle issues that Penrose et al. met. It provides a new, substantially simple, and physically natural non-partial differential equation viewpoint to understand the positive mass theorem. This elementary argument modestly applies to asymptotically flat solutions that are vacuum and stationary near infinity.
DOI10.1063/5.0050978
收录类别SCI
语种英语
资助项目Natural Science Foundation of Hunan Province[2018JJ2073] ; National Natural Science Foundation of China[11671089]
WOS研究方向Physics
WOS类目Physics, Mathematical
WOS记录号WOS:000659554800001
出版者AMER INST PHYSICS
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/58822
专题中国科学院数学与系统科学研究院
通讯作者Xie, Naqing
作者单位1.Hunan First Normal Univ, Sch Math & Computat Sci, Changsha 410205, Hunan, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China
3.Chinese Acad Sci, Hua Loo Keng Key Lab, Beijing 100190, Peoples R China
4.Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
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GB/T 7714
He, Xiaokai,Wu, Xiaoning,Xie, Naqing. From bending of light to positive mass: A non-PDE perspective[J]. JOURNAL OF MATHEMATICAL PHYSICS,2021,62(6):7.
APA He, Xiaokai,Wu, Xiaoning,&Xie, Naqing.(2021).From bending of light to positive mass: A non-PDE perspective.JOURNAL OF MATHEMATICAL PHYSICS,62(6),7.
MLA He, Xiaokai,et al."From bending of light to positive mass: A non-PDE perspective".JOURNAL OF MATHEMATICAL PHYSICS 62.6(2021):7.
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