2 citations · 2 across the 7 of their papers we have counts for
8 papers
Near--extremal gravitational collapse in 4+1 dimensions: Schwarzschild--de--Sitter space
Maciej Dunajski, Sebastian J. Szybka
We numerically study a formation of near extremal horizons from a gravitational collapse of radially symmetric gravitational waves in dimensions within the framework of pure…
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…
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…
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…
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…
Conformally Kähler structures
Maciej Dunajski, A. Rod Gover
We establish a one-to-one correspondence between Kähler metrics in a given conformal class and parallel sections of a certain vector bundle with conformally invariant connection, w…
Integrability of quantum dots
Maciej Dunajski, Andrzej J. Maciejewski, Maria Przybylska
We determine the frequency ratios for which the Hamiltonian system with a potential \[ V=\frac{1}{r}+\frac{1}{2}\Big({ω_ρ}^2(x^2+y^2)+{ω_z}^2 z^2\Big) \] is compl…
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…