Isometries of spacetimes without observer horizons
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866917359872114688 |
|---|---|
| author | García-Heveling, Leonardo Zeghib, Abdelghani |
| author_facet | García-Heveling, Leonardo Zeghib, Abdelghani |
| contents | We study the isometry groups of (non-compact) Lorentzian manifolds with well-behaved causal structure, aka causal spacetimes satisfying the ``no observer horizons'' condition. Our main result is that the group of time orientation-preserving isometries acts properly on the spacetime. As corollaries, we obtain the existence of an invariant Cauchy temporal function, and a splitting of the isometry group into a compact subgroup and a subgroup roughly corresponding to time translations. The latter can only be the trivial group, $\mathbb{Z}$, or $\mathbb{R}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_13904 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Isometries of spacetimes without observer horizons García-Heveling, Leonardo Zeghib, Abdelghani Differential Geometry General Relativity and Quantum Cosmology Mathematical Physics 53C50 (primary), 58D19 (secondary) We study the isometry groups of (non-compact) Lorentzian manifolds with well-behaved causal structure, aka causal spacetimes satisfying the ``no observer horizons'' condition. Our main result is that the group of time orientation-preserving isometries acts properly on the spacetime. As corollaries, we obtain the existence of an invariant Cauchy temporal function, and a splitting of the isometry group into a compact subgroup and a subgroup roughly corresponding to time translations. The latter can only be the trivial group, $\mathbb{Z}$, or $\mathbb{R}$. |
| title | Isometries of spacetimes without observer horizons |
| topic | Differential Geometry General Relativity and Quantum Cosmology Mathematical Physics 53C50 (primary), 58D19 (secondary) |
| url | https://arxiv.org/abs/2502.13904 |