Asymptotic stability of vacuum type II metrics
General Relativity and Quantum Cosmology
2012-04-13 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1202.5157,
title = {Asymptotic stability of vacuum type II metrics},
author = {Włodzimierz Natorf},
journal= {arXiv preprint arXiv:1202.5157},
year = {2012}
}
Comments
some typos removed in v2