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Harmonic coordinates of the Kerr metric revisited
Zang,Yunlong1,3,4; He,Xiaokai2; Cao,Zhoujian3
Source PublicationClassical and Quantum Gravity
AbstractAbstract 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.
Keywordhorizon-penetrating harmonic slicing Kerr harmonic metric multipole moments
WOS IDIOP:0264-9381-37-20-abad81
PublisherIOP Publishing
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Document Type期刊论文
Affiliation1.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
Recommended Citation
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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