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Intrinsic rigidity of extremal horizons

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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. This is based on a joint work with James Lucietti.

This talk is part of the DAMTP Friday GR Seminar series.

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