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SUMMARY:Rigidity of the extremal Kerr-Newman horizon - Alex Colling (Unive
 rsity of Cambridge)
DTSTART:20240918T103000Z
DTEND:20240918T113000Z
UID:TALK219742@talks.cam.ac.uk
DESCRIPTION:The Einstein equations for a spacetime containing an extremal 
 horizon induce a set of equations determined completely by quantities intr
 insic to a compact cross-section of the horizon. Significant progress on c
 lassifying solutions to these equations was recently made by Dunajski and 
 Lucietti\, who showed that any non-static vacuum solution must admit a Kil
 ling vector field.\n&nbsp\;\nI will present joint work with David Katona a
 nd James Lucietti extending the Dunajski-Lucietti proof to four-dimensiona
 l Einstein-Maxwell theory. It follows that any non-trivial cross-section i
 n this theory is given by the extremal Kerr-Newman family. I will also dis
 cuss the wider class of quasi-Einstein equations and rule out non-trivial 
 solutions on compact surfaces of non-zero genus.
LOCATION:Seminar Room 2\, Newton Institute
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