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SUMMARY:Intrinsic rigidity of extremal horizons and black hole uniqueness 
 - James Lucietti (University of Edinburgh)
DTSTART:20240918T090000Z
DTEND:20240918T100000Z
UID:TALK219691@talks.cam.ac.uk
DESCRIPTION:I will present a recent proof which shows that the intrinsic g
 eometry of compact cross-sections of any vacuum extremal horizon\, possibl
 y with a cosmological constant\, must admit a Killing vector field. In par
 ticular\, this implies that the extremal Kerr horizon is the most general 
 such horizon in four-dimensional General Relativity and completes the clas
 sification of the associated near-horizon geometries. &nbsp\;I will also d
 iscuss a recent uniqueness proof which shows that any analytic Einstein sp
 acetime with positive cosmological constant\, that contains a static extre
 mal horizon with a maximally symmetric compact cross-section\, is the extr
 emal Schwarzschild de Sitter spacetime or its near-horizon geometry.
LOCATION:Seminar Room 2\, Newton Institute
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