On Uniqueness of Kerr Space-time near null infinity

Abstract

We re-express the Kerr metric in standard Bondi-Saches' coordinate near null infinity ${\mathcal{I}}^{+}$. 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.

15pages

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Cited by in corpus (3)

• Twisting asymptotic symmetries and algebraically special vacuum solutions
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