Brief introduction to the nonlinear stability of Kerr

This a brief introduction to the sequence of works $\href{https://doi.org/10.48550/arXiv.2104.11857}{[65]}$, $\href{https://doi.org/10.48550/arXiv.2205.14808}{[41]}$, $\href{https://doi.org/10.1007/s40818-022-00131-8}{[63]}$, $\href{https://doi.org/10.1007/s40818-022-00132-7}{[64]}$, and $\href{https://doi.org/10.1007/s40818-023-00152-x}{[85]}$ which establish the nonlinear stability of Kerr black holes with small angular momentum. We are delighted to dedicate this article to Demetrios Christodoulou for whom we both have great admiration. The first author would also like to thank Demetrios for the magic moments of friendship, discussions and collaboration he enjoyed together with him.

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Received 10 October 2022

Received revised 14 March 2023

Accepted 15 March 2023

Published 18 July 2024