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gr-qc2025
New asymptotically flat Einstein--Maxwell instantons
Bernardo Araneda, Maciej Dunajski
We disprove the Euclidean Einstein--Maxwell Black Hole Uniqueness Conjecture, and thus demonstrate that the semi-classical properties of coupled gravitational and electromagnetic f…
math.DG2025
Quasi-Einstein structures and Hitchin's equations
Alex Colling, Maciej Dunajski
We prove (Theorem 1.1.) that a class of quasi-Einstein structures on closed manifolds must admit a Killing vector field. This extends the rigidity theorem obtained in \cite{DL23} f…
hep-th2025
Gravitational Instantons, old and new
Maciej Dunajski
This is a review of gravitational instantons -- solutions to Riemannian Einstein or Einstein-Maxwell equations in four dimensions which yield complete metrics on non-compact four-m…