Abstract
In this Chapter we review of the geometry of extremal Kerr backgrounds and present stability and instability results for linear perturbations. We show that axisymmetric perturbations behave very much like general perturbations on extremal Reissner–Nordström. However, non-axisymmetric perturbations introduce major new difficulties, and despite intense recent progress, reviewed here, many fundamental questions still remain open.
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Aretakis, S. (2018). Extremal Kerr Black Holes. In: Dynamics of Extremal Black Holes. SpringerBriefs in Mathematical Physics, vol 33. Springer, Cham. https://doi.org/10.1007/978-3-319-95183-6_3
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DOI: https://doi.org/10.1007/978-3-319-95183-6_3
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