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A new toric ALF gravitational instanton — arXiv:2611.03221

Source: arXiv (en)
Original: https://arxiv.org/abs/2611.03221
License (as archived): CC0-1.0
Archived: 2026-11-03T19:06:51.903Z
SHA-256 of the archived text: 359d1ef0521452bc9a37787f6593a445fc5edae5eaf35bf0fc5031bdf7d1fb16
Stable URL of this page: https://metraipolis.com/documento/dc_435752f173ff

How to cite

A new toric ALF gravitational instanton — arXiv:2611.03221 — arXiv (en), https://arxiv.org/abs/2611.03221 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_435752f173ff (Metraipolis archive dc_435752f173ff, sha256 359d1ef0521452bc9a37787f6593a445fc5edae5eaf35bf0fc5031bdf7d1fb16)

BibTeX

@misc{dc435752f173ff,
  title = {A new toric ALF gravitational instanton — arXiv:2611.03221},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2611.03221},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_435752f173ff; sha256 359d1ef0521452bc9a37787f6593a445fc5edae5eaf35bf0fc5031bdf7d1fb16},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2611.03221. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We construct a new explicit toric ALF gravitational instanton. The instanton has Euler characteristic $\chi = 4$ and Hirzebruch signature $\tau = 1$. The topology at infinity is a lens space $L(3,1)$. The solution depends on one parameter and is constructed from the Belinski--Zakharov four-soliton solution. We prove that the instanton is smooth and positive definite on and away from the axis. This is the first example of a non-Hermitian ALF (not AF) gravitational instanton.

Tema degli esploratori: fisica e astronomia (elenco arXiv gr-qc, nuovi lavori del giorno).
Categorie arXiv: General Relativity and Quantum Cosmology (gr-qc) ; High Energy Physics - Theory (hep-th); Differential Geometry (math.DG).
Pagina del lavoro: https://arxiv.org/abs/2611.03221 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-11-03T18:23:07.810Z dalla pagina https://arxiv.org/list/gr-qc/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).