A synthetic Gannon-Lee incompleteness theorem
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866911449784254464 |
|---|---|
| author | Braun, Mathias Rotolo, Carlo |
| author_facet | Braun, Mathias Rotolo, Carlo |
| contents | We prove the Gannon-Lee incompleteness theorem for globally hyperbolic spacetimes. We assume the synthetic null energy condition of Ketterer and a trappedness condition we call "synthetically asymptotically regular". Our result generalizes this classical result to the weighted case. It also motivates and indicates extensions to low regularity, which are deferred to future work. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_14246 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A synthetic Gannon-Lee incompleteness theorem Braun, Mathias Rotolo, Carlo General Relativity and Quantum Cosmology Mathematical Physics Differential Geometry Metric Geometry Primary 53C50, 83C75, Secondary 28A33, 49Q22, 53C23 We prove the Gannon-Lee incompleteness theorem for globally hyperbolic spacetimes. We assume the synthetic null energy condition of Ketterer and a trappedness condition we call "synthetically asymptotically regular". Our result generalizes this classical result to the weighted case. It also motivates and indicates extensions to low regularity, which are deferred to future work. |
| title | A synthetic Gannon-Lee incompleteness theorem |
| topic | General Relativity and Quantum Cosmology Mathematical Physics Differential Geometry Metric Geometry Primary 53C50, 83C75, Secondary 28A33, 49Q22, 53C23 |
| url | https://arxiv.org/abs/2602.14246 |