Maciej Dunajski: Intrinsic rigidity of extremal horizons

Date: 2023-07-12

Time: 09:00 - 09:40

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Maciej Dunajski, University of Cambridge


We prove that the intrinsic Riemannian geometry of compact cross-sections of any Einstein extremal horizon must admit a Killing vector field. If the cross-sections are two-dimensional spheres, this implies that the most general solution is the extremal Kerr horizon and completes the classification of the associated near-horizon geometries.