Uniqueness of Kerr space-time near null infinity

Xiaoning Wu and Shan Bai
Phys. Rev. D 78, 124009 – Published 12 December 2008

Abstract

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.

  • Received 11 September 2008

DOI:https://doi.org/10.1103/PhysRevD.78.124009

©2008 American Physical Society

Authors & Affiliations

Xiaoning Wu1,* and Shan Bai2,†

  • 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

  • *wuxn@amss.ac.cn
  • xiaobai99033@yahoo.com.cn

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Issue

Vol. 78, Iss. 12 — 15 December 2008

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