Twistor theory of the Chen--Teo gravitational instanton
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929499423113216 |
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| author | Dunajski, Maciej Tod, Paul |
| author_facet | Dunajski, Maciej Tod, Paul |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_08170 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Twistor theory of the Chen--Teo gravitational instanton Dunajski, Maciej Tod, Paul General Relativity and Quantum Cosmology High Energy Physics - Theory Differential Geometry 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. |
| title | Twistor theory of the Chen--Teo gravitational instanton |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory Differential Geometry |
| url | https://arxiv.org/abs/2405.08170 |