1202.5157 (Włodzimierz Natorf)

Asymptotic stability of vacuum type II metrics    [PDF]

Włodzimierz Natorf

We generalize the result of Luk{\'a}cs {\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.

View original: http://arxiv.org/abs/1202.5157