On the existence of toric ALE and ALF gravitational instantons
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866911598824652800 |
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| author | Kunduri, Hari K. Lucietti, James |
| author_facet | Kunduri, Hari K. Lucietti, James |
| contents | We establish existence and uniqueness results for asymptotically locally Euclidean (ALE) and asymptotically locally flat (ALF) gravitational instantons. In particular, we prove the existence of a unique, Ricci-flat, toric ALE and ALF gravitational instanton, for every admissible rod structure, that is smooth up to possible conical singularites. We also give an elementary proof that any toric ALE or ALF self-dual instanton is a multi-Eguchi-Hanson or multi-Taub-NUT solution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_15159 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the existence of toric ALE and ALF gravitational instantons Kunduri, Hari K. Lucietti, James Differential Geometry General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics We establish existence and uniqueness results for asymptotically locally Euclidean (ALE) and asymptotically locally flat (ALF) gravitational instantons. In particular, we prove the existence of a unique, Ricci-flat, toric ALE and ALF gravitational instanton, for every admissible rod structure, that is smooth up to possible conical singularites. We also give an elementary proof that any toric ALE or ALF self-dual instanton is a multi-Eguchi-Hanson or multi-Taub-NUT solution. |
| title | On the existence of toric ALE and ALF gravitational instantons |
| topic | Differential Geometry General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2604.15159 |