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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Intrinsic rigidity of extremal horizons and black hole uniqueness

## Intrinsic rigidity of extremal horizons and black hole uniquenessAdd to your list(s) Download to your calendar using vCal - James Lucietti (University of Edinburgh)
- Wednesday 18 September 2024, 10:00-11:00
- Seminar Room 2, Newton Institute.
If you have a question about this talk, please contact nobody. TWT - Twistor theory I will present a recent proof which shows that the intrinsic geometry of compact cross-sections of any vacuum extremal horizon, possibly with a cosmological constant, must admit a Killing vector field. In particular, this implies that the extremal Kerr horizon is the most general such horizon in four-dimensional General Relativity and completes the classification of the associated near-horizon geometries. I will also discuss a recent uniqueness proof which shows that any analytic Einstein spacetime with positive cosmological constant, that contains a static extremal horizon with a maximally symmetric compact cross-section, is the extremal Schwarzschild de Sitter spacetime or its near-horizon geometry. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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