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gr-qc2024★ 3 cited
Rigidity of the extremal Kerr-Newman horizon
Alex Colling, David Katona, James Lucietti
We prove that the intrinsic geometry of compact cross-sections of an extremal horizon in four-dimensional Einstein-Maxwell theory must admit a Killing vector field or is static. Th…
math.DG2024★ 2 cited
New quasi-Einstein metrics on a two-sphere
Alex Colling, Maciej Dunajski, Hari Kunduri +1
We construct all axi-symmetric non-gradient -quasi-Einstein structures on a two-sphere. This includes the spatial cross-section of the extreme Kerr black hole horizon correspond…