Twistor theory of the Chen--Teo gravitational instanton
General Relativity and Quantum Cosmology
2024-09-16 v3 High Energy Physics - Theory
Differential Geometry
Abstract
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 characterising their patching matrices, for the five--parameter family of Riemannian ALF metrics constructed by Chen and Teo. The Chen--Teo family contains a two--parameter family of asymptotically flat gravitational instantons. The patching matrices for these instantons take a simple rational form.
Cite
@article{arxiv.2405.08170,
title = {Twistor theory of the Chen--Teo gravitational instanton},
author = {Maciej Dunajski and Paul Tod},
journal= {arXiv preprint arXiv:2405.08170},
year = {2024}
}
Comments
Dedicated to Nick Woodhouse on the occasion of his 75th birthday. The link between the twistor mass and NUT parameters and the Kunduri-Lucietti mass and the Chen-Teo NUT clarified following a comment from James Lucietti. Final version, to appear in CQG