Rigidity of extremal horizons and black hole uniqueness

22.11.2023 14:15 - 15:45

James Lucietti (Edinburgh)

Abstract: 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.




P. Chrusciel, D. Fajman
Fakultät f. Physik, Seminarraum A, Währinger Straße 17, 2. Stock