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Phys. Rev. D 76, 107501 (2007) [4 pages]

Newman-Penrose constants of the Kerr-Newman metric

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Xuefei Gong1,2, Yu Shang1,2, Shan Bai1,2, Zhoujian Cao1, Ziren Luo1,2,3, and Y. K. Lau1
1Institute of Applied Mathematics, Academy of Mathematics and System Science, Chinese Academy of Sciences, 55, Zhongguancun Donglu, Beijing, China, 100080
2Graduate School of Chinese Academy of Sciences, Beijing, China, 100080
3Department of Mathematics, Capital Normal University, Beijing, China, 100037

Received 10 July 2007; published 16 November 2007

The Newman-Unti formalism of the Kerr-Newman metric near future null infinity is developed, with which the Newman-Penrose constants for both the gravitational and electromagnetic fields of the Kerr-Newman metric are computed and shown to be zero. The multipole structure near future null infinity in the sense of Janis-Newman of the Kerr-Newman metric is then further studied. It is found that up to the 24-pole, modulo a constant dependent upon the order of the pole, these multipole moments agree with those of Geroch-Hansen multipole moments defined at spatial infinity.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.76.107501
DOI:
10.1103/PhysRevD.76.107501
PACS:
04.70.Bw, 04.30.Db
 
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