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Twistor theory of the Chen–Teo gravitational instanton * * Dedicated to Nick Woodhouse on the occasion of his 75th birthday

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.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1088/1361-6382/ad70eb

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Role:
Author
ORCID:
0000-0002-6477-8319
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Institution:
University of Oxford
Role:
Author
ORCID:
0000-0002-6086-4850


Publisher:
IOP Publishing
Journal:
Classical and Quantum Gravity More from this journal
Volume:
41
Issue:
19
Article number:
195008
Publication date:
2024-08-30
Acceptance date:
2024-08-19
DOI:
EISSN:
1361-6382
ISSN:
0264-9381


Language:
English
Keywords:
Source identifiers:
2225607
Deposit date:
2024-08-30
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