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arXiv · 0811.3794

On Uniqueness of Kerr Space-time near null infinity

Xiaoning Wu·Shan Bai
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Abstract

We re-express the Kerr metric in standard Bondi-Saches' coordinate near null infinity ${\cal I}^+$. Using the uniqueness result of characteristic initial value problem, we prove the Kerr metric is the only asymptotic flat, stationary, axial symmetric, Type-D solution of vacuum Einstein equation. The Taylor series of Kerr space-time is expressed in terms of B-S coordinates and the N-P constants have been calculated.

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Xiaoning Wu, Shan Bai. 2008-11-24. On Uniqueness of Kerr Space-time near null infinity. https://doi.org/10.1103/physrevd.78.124009

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