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Harmonic coordinates of the Kerr metric revisited
Zang,Yunlong1,3,4; He,Xiaokai2; Cao,Zhoujian3
2020-10-01
发表期刊Classical and Quantum Gravity
ISSN0264-9381
卷号37期号:20
摘要Abstract Starting from the Kerr–Schild coordinates, a set of horizon penetrating harmonic coordinates for the Kerr metric is worked out and exhibit the explicit form of the whole metric. As a validity check on the calculations, the multipole expansion of the Kerr metric is then derived from the harmonic formulation. The resemblance of the geometry of the harmonic slicing with the ‘1 + log’ slicing and the generalized harmonic gauge in numerical relativity is then further discussed. Together with its horizon penetrating structure, the harmonic formulation is well suited for the numerical simulation of astrophysical electromagnetic phenomena, like for instance the Blanford–Znajek process, in the vicinity of a supermassive black hole.
关键词horizon-penetrating harmonic slicing Kerr harmonic metric multipole moments
DOI10.1088/1361-6382/abad81
语种英语
WOS记录号IOP:0264-9381-37-20-abad81
出版者IOP Publishing
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/52121
专题应用数学研究所
作者单位1.School of Mathematical Sciences, Yangzhou University, Yangzhou 225002, 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.Yau Mathematical Sciences Center, Tsinghua University, Beijing 100084, People’s Republic of China
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GB/T 7714
Zang,Yunlong,He,Xiaokai,Cao,Zhoujian. Harmonic coordinates of the Kerr metric revisited[J]. Classical and Quantum Gravity,2020,37(20).
APA Zang,Yunlong,He,Xiaokai,&Cao,Zhoujian.(2020).Harmonic coordinates of the Kerr metric revisited.Classical and Quantum Gravity,37(20).
MLA Zang,Yunlong,et al."Harmonic coordinates of the Kerr metric revisited".Classical and Quantum Gravity 37.20(2020).
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