3 papers
gr-qc2024
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…
gr-qc2024
Uniqueness of extremal charged black holes in de Sitter
David Katona
We prove a uniqueness theorem for the charged Nariai black holes and ultracold black holes in four dimensions. In particular, we show that an analytic solution to four-dimensional…
gr-qc2023
Uniqueness of the extremal Schwarzschild de Sitter spacetime
David Katona, James Lucietti
We prove that any analytic vacuum spacetime with a positive cosmological constant in four and higher dimensions, that contains a static extremal Killing horizon with a maximally sy…