Asymptotic stability of vacuum type II metrics

Details Asymptotic stability of vacuum type II metrics Asymptotic stability of vacuum type II metrics

2012-02-23

arxiv.org/abs/1202.5157v2

J. Math. Phys. 53, 022503 (2012);

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

some typos removed in v2

Scientific paper

10.1063/1.3682273

We generalize the result of Lukacs {\it et al.} on asymptotic stability of the Schwarzschild metric with respect to perturbations in the Robinson-Trautman class of metrics to the case of Petrov type II twisting metrics, uder the condition of asymptotic flatness at future null infinity. The Bondi energy is used as the Lyapunov functional and we prove that the "final state" of such metrics is the Kerr metric.

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