Phys. Rev. D 78, 124009 (2008) [9 pages]

Uniqueness of Kerr space-time near null infinity

Abstract

References

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Xiaoning Wu^1,* and Shan Bai^2,†
¹Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, P.O. Box 2734, Beijing, 100080, China
²Institute of Theoretical Physics, Chinese Academy of Sciences, P.O. Box 2735, Beijing, 100080, China

Received 11 September 2008; published 12 December 2008

We reexpress the Kerr metric in standard Bondi-Sachs coordinates near null infinity I⁺. Using the uniqueness result of the characteristic initial value problem, we prove the Kerr metric is the only asymptotically flat, stationary, axially symmetric, type-D solution of the vacuum Einstein equation. The Taylor series of Kerr space-time is expressed in terms of Bondi-Sachs coordinates, and the Newman-Penrose constants have been calculated.

URL:

http://link.aps.org/doi/10.1103/PhysRevD.78.124009

DOI:

10.1103/PhysRevD.78.124009

PACS:

04.20.Ex, 04.20.Ha

^*wuxn@amss.ac.cn

^†xiaobai99033@yahoo.com.cn

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Phys. Rev. D 78, 124009 (2008) [9 pages]

Uniqueness of Kerr space-time near null infinity