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arXiv · 2405.08170

Twistor theory of the Chen--Teo gravitational instanton

Maciej Dunajski·Paul Tod
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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.

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Maciej Dunajski, Paul Tod. 2024-05-13. Twistor theory of the Chen--Teo gravitational instanton. https://arxiv.org/abs/2405.08170

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