143 citations · 830 across the 62 of their papers we have counts for
66 papers
Conformal Geodesics Cannot Spiral -- Erratum
Peter Cameron, Maciej Dunajski, Paul Tod
Wojciech Kamiński 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 [1…
Twistor theory of the Chen--Teo gravitational instanton
Maciej Dunajski, Paul Tod
Toric Ricci--flat metrics in dimension four correspond to certain holomorphic vector bundles over a twistor space. We construct these bundles explicitly, by exhibiting and characte…
Conformal Methods in Mathematical Cosmology
Paul Tod
When he first introduced the notion of a conformal boundary into the study of asymptotically empty space-times, Penrose noted that that the boundary would be null, space-like or ti…
Well-posedness of anisotropic and homogeneous solutions to the Einstein-Boltzmann system with a conformal-gauge singularity
Ho Lee, Ernesto Nungesser, John Stalker +1
We consider the Einstein-Boltzmann system for massless particles in the Bianchi I space-time with scattering cross-sections in a certain range of soft potentials. We assume that th…
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.
Some questions about Conformal Cyclic Cosmology
Paul Tod
This article is an extended version of a talk given in Oxford in June 2021 as part of an online meeting `Ninety minutes of CCC' to mark the 90th birthday of Sir Roger Penrose. I as…