4 papers
Heavenly equations in de Sitter space
Maciej Dunajski, Timothy Moy
We demonstrate that all anti-self-dual Einstein metrics with non--zero cosmological constant locally arise from solutions of a single second order PDE introduced by Lipstein an…
Conformal Geodesics Cannot Spiral -- Erratum
Peter Cameron, Maciej Dunajski, Paul Tod
Wojciech KamiÅski has provided a non real-analytic counterexample to our claim in [1] that conformal geodesics cannot spiral. This erratum illustrates how the proof of Lemma 4.6 […
Conformal Geodesics Cannot Spiral
Peter Cameron, Maciej Dunajski, Paul Tod
We show that conformal geodesics on a Riemannian manifold cannot spiral: there does not exist a conformal geodesic which becomes trapped in every neighbourhood of a point.
Intrinsic rigidity of extremal horizons
Maciej Dunajski, James Lucietti
We prove that the intrinsic geometry of compact cross-sections of any vacuum extremal horizon must admit a Killing vector field. If the cross-sections are two-dimensional spheres,…