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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Rigidity of the extremal Kerr-Newman horizon

## Rigidity of the extremal Kerr-Newman horizonAdd to your list(s) Download to your calendar using vCal - Alex Colling (University of Cambridge)
- Monday 16 September 2024, 14:30-15:30
- Seminar Room 2, Newton Institute.
If you have a question about this talk, please contact nobody. TWT - Twistor theory The Einstein equations for a spacetime containing an extremal horizon induce a set of equations determined completely by quantities intrinsic to a compact cross-section of the horizon. Significant progress on classifying solutions to these equations was recently made by Dunajski and Lucietti, who showed that any non-static vacuum solution must admit a Killing vector field. In this talk we review the Dunajski-Lucietti argument and complete the proof that the Killing vector is inheriting. We then show how to extend the result to four-dimensional Einstein-Maxwell theory. It follows that any non-trivial cross-section in this theory is given by the extremal Kerr-Newman family. This is joint work with David Katona and James Lucietti. 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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