Beran, Tobias, Harvey, John  ORCID: https://orcid.org/0000-0001-9211-0060 and Sämann, Clemens
2026.
Curvature bounds, regularity and inextendibility of spacetimes.
Classical and Quantum Gravity
43
, 145010.
10.1088/1361-6382/ae82af
|
Preview |
PDF
- Published Version
Available under License Creative Commons Attribution. Download (460kB) | Preview |
Official URL: https://doi.org/10.1088/1361-6382/ae82af
Abstract
We provide a completely new relation between curvature bounds and definiteness of the causal character of maximizers by exploiting the robust notion of synthetic curvature. This enables us to relate low-regularity inextendibility of spacetimes to unboundedness of curvature - which is at present unattainable using classical methods - thereby strengthening and complementing the results of Grant-Kunzinger-Saemann (2019) significantly.
| Item Type: | Article |
|---|---|
| Date Type: | Publication |
| Status: | Published |
| Schools: | Schools > Mathematics |
| Publisher: | IOP Publishing |
| ISSN: | 0264-9381 |
| Date of First Compliant Deposit: | 6 July 2026 |
| Date of Acceptance: | 25 June 2026 |
| Last Modified: | 05 Aug 2026 09:30 |
| URI: | https://orca.cardiff.ac.uk/id/eprint/187933 |
Actions (repository staff only)
 |
Edit Item |
Dimensions
Dimensions