• Corpus ID: 249191958

Wave equations estimates and the nonlinear stability of slowly rotating Kerr black holes

@inproceedings{Giorgi2022WaveEE,
  title={Wave equations estimates and the nonlinear stability of slowly rotating Kerr black holes},
  author={Elena Giorgi and Sergi{\`u} Klainerman and J{\'e}r{\'e}mie Szeftel},
  year={2022}
}
This is the last part of our proof of the nonlinear stability of the Kerr family for small angular momentum, i.e $|a|/m\ll 1$, in which we deal with the nonlinear wave type estimates needed to complete the project. More precisely we provide complete proofs for Theorems M1 and M2 as well the curvature estimates of Theorem M8, which were stated without proof in sections 3.7.1 and 9.4.7 of \cite{KS:Kerr}. Our procedure is based on a new general interest formalism (detailed in Part I of this work… 

Kerr Black Holes within the Membrane Paradigm

We consider the membrane viewpoint a là Parikh-Wilczek on the Kerr solution for a rotating black hole. Computing the stress-energy tensor of a close to the horizon stretched membrane and comparing it