James Lucietti (Edinburgh): Rigidity of extremal horizons and black hole uniqueness

Mittwoch, 22. November 2023 14:15

Ort: Seminarraum A, Währinger Str. 17, 2. Stock

Zoom: univienna.zoom.us/j/6540036841

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, 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.


Seminarraum A, Währinger Str. 17, 2. Stock