On uniqueness of static asymptotically anti-de Sitter black hole

doi:10.1088/1361-6382/abbc45

	On uniqueness of static asymptotically anti-de Sitter black hole
	He,Xiaokai 1,5; Cao,Zhoujian 2; Fang,Xiongjun 5; Jing,Jiliang 5; Wu,Xiaoning 3,4
刊名	Classical and Quantum Gravity
	2020-11-18
卷号	37 期号:24
关键词	multipole moments of space-time uniqueness theorem of black hole asymptotic AdS spacetime
ISSN号	0264-9381
DOI	10.1088/1361-6382/abbc45
英文摘要	AbstractIn this paper, the asymptotically anti-de Sitter spacetime with a hypersurface orthogonal Killing vector field is discussed near the conformal boundary by using Newman–Penrose formalism. We first investigate the multipole structure of a static, asymptotically anti-de Sitter spacetime. We note that, different to asymptotically flat case in which the multipoles are contained in Ψ0k, the multipoles of a static, asymptotically anti-de Sitter spacetime are all contained in Ψ20. We then show that the Schwarzschild anti-de Sitter spacetime is the only asymptotically anti-de Sitter, vacuum, static, axisymmetric, type-D analytic solution of vacuum Einstein equation with a negative cosmological constant in a Bondi coordinate neighborhood of the conformal boundary if the spherical harmonic expansion of Ψ20 is finite.
语种	英语
出版者	IOP Publishing
WOS记录号	IOP:0264-9381-37-24-ABBC45
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/52123]
专题	中国科学院数学与系统科学研究院
作者单位	1.School of Mathematics and Computational Science, Hunan First Normal University, Changsha 410205, People’s Republic of China 2.Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China 3.Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China 4.Hua Loo-Keng Key Laboratory of Mathematics, Chinese Academy of Sciences, China 5.Department of Physics, Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha, Hunan 410081, People’s Republic of China
推荐引用方式 GB/T 7714	He,Xiaokai,Cao,Zhoujian,Fang,Xiongjun,et al. On uniqueness of static asymptotically anti-de Sitter black hole[J]. Classical and Quantum Gravity,2020,37(24).
APA	He,Xiaokai,Cao,Zhoujian,Fang,Xiongjun,Jing,Jiliang,&Wu,Xiaoning.(2020).On uniqueness of static asymptotically anti-de Sitter black hole.Classical and Quantum Gravity,37(24).
MLA	He,Xiaokai,et al."On uniqueness of static asymptotically anti-de Sitter black hole".Classical and Quantum Gravity 37.24(2020).