Twistor theory of the Chen--Teo gravitational instanton

Autor:	Dunajski, Maciej, Tod, Paul
Rok vydání:	2024
Předmět:	General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
Popis:	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. Comment: 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
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2405.08170 Zobrazit plný text záznamu View this record from Arxiv