Weak cosmic censorship for the circularly symmetric Einstein-scalar field system in $2+1$ dimensions
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916025274990592 |
|---|---|
| author | Cicortas, Serban |
| author_facet | Cicortas, Serban |
| contents | We prove the weak cosmic censorship conjecture in $2+1$ spacetime dimensions for the circularly symmetric Einstein-scalar field system in the presence of a negative cosmological constant $Λ<0$. More precisely, we show that for any integer $k\geq2$, the maximal development of generic $C^k$ initial data does not contain naked singularities. An essential step of the proof is establishing the presence of a mass gap. In particular, this implies that all naked singularities have infinite blueshift, which represents the main instability mechanism. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_19143 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Weak cosmic censorship for the circularly symmetric Einstein-scalar field system in $2+1$ dimensions Cicortas, Serban General Relativity and Quantum Cosmology Mathematical Physics Analysis of PDEs Differential Geometry We prove the weak cosmic censorship conjecture in $2+1$ spacetime dimensions for the circularly symmetric Einstein-scalar field system in the presence of a negative cosmological constant $Λ<0$. More precisely, we show that for any integer $k\geq2$, the maximal development of generic $C^k$ initial data does not contain naked singularities. An essential step of the proof is establishing the presence of a mass gap. In particular, this implies that all naked singularities have infinite blueshift, which represents the main instability mechanism. |
| title | Weak cosmic censorship for the circularly symmetric Einstein-scalar field system in $2+1$ dimensions |
| topic | General Relativity and Quantum Cosmology Mathematical Physics Analysis of PDEs Differential Geometry |
| url | https://arxiv.org/abs/2605.19143 |