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

References in corpus (2)

• Light Cone Structure near Null Infinity of the Kerr Metric
• On Newman-Penrose constants of stationary space-times

Cited by in corpus (1)

• On Newman-Penrose constants of stationary electrovacuum spacetimes