Foliation of null cones by surfaces of constant spacetime mean curvature near MOTS
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910068847411200 |
|---|---|
| author | Lambert, Ben Scheuer, Julian |
| author_facet | Lambert, Ben Scheuer, Julian |
| contents | Marginally Outer Trapped Surfaces (MOTS) in spacetimes are well-known to indicate the existence of black holes. Using flow techniques, we prove that a neighbourhood of a stable MOTS in a null cone may be foliated by hypersurfaces of constant spacetime mean curvature. We also provide methods to construct prescribed spacetime mean curvature surfaces within null cones. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_23083 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Foliation of null cones by surfaces of constant spacetime mean curvature near MOTS Lambert, Ben Scheuer, Julian Differential Geometry Mathematical Physics Marginally Outer Trapped Surfaces (MOTS) in spacetimes are well-known to indicate the existence of black holes. Using flow techniques, we prove that a neighbourhood of a stable MOTS in a null cone may be foliated by hypersurfaces of constant spacetime mean curvature. We also provide methods to construct prescribed spacetime mean curvature surfaces within null cones. |
| title | Foliation of null cones by surfaces of constant spacetime mean curvature near MOTS |
| topic | Differential Geometry Mathematical Physics |
| url | https://arxiv.org/abs/2603.23083 |