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arxiv: 0811.3794 · v1 · submitted 2008-11-24 · 🌀 gr-qc

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On Uniqueness of Kerr Space-time near null infinity

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classification 🌀 gr-qc
keywords kerrinfinitymetricnearnullspace-timeuniquenessasymptotic
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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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