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On uniqueness of static asymptotically anti-de Sitter black hole
He,Xiaokai1,2; Cao,Zhoujian3; Fang,Xiongjun1; Jing,Jiliang1; Wu,Xiaoning4,5
2020-11-18
Source PublicationClassical and Quantum Gravity
ISSN0264-9381
Volume37Issue:24
AbstractAbstractIn 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.
Keywordmultipole moments of space-time uniqueness theorem of black hole asymptotic AdS spacetime
DOI10.1088/1361-6382/abbc45
Language英语
WOS IDIOP:0264-9381-37-24-abbc45
PublisherIOP Publishing
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/52124
Collection应用数学研究所
数学所
Affiliation1.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
2.School of Mathematics and Computational Science, Hunan First Normal University, Changsha 410205, People’s Republic of China
3.Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China
4.Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China
5.Hua Loo-Keng Key Laboratory of Mathematics, Chinese Academy of Sciences, China
Recommended Citation
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).
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