On Uniqueness of Kerr Space-time near null infinity

Details On Uniqueness of Kerr Space-time near null infinity On Uniqueness of Kerr Space-time near null infinity

2008-11-24

arxiv.org/abs/0811.3794v1

Phys.Rev.D78:124009,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15pages

Scientific paper

10.1103/PhysRevD.78.124009

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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