3 papers
hep-th2026
Integrable Systems
Maciej Dunajski
These notes are based on lecture courses I gave to third year mathematics students at Cambridge. They could form a basis of an elementary one--term lecture course on integrable sys…
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…
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…