The positive energy theorem for weighted asymptotically anti-de Sitter spacetimes
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866929263993683968 |
|---|---|
| author | Wang, Yaohua Zhang, Xiao |
| author_facet | Wang, Yaohua Zhang, Xiao |
| contents | The positive energy theorem for weighted asymptotically flat spin manifolds was proved by Baldauf and Ozuch \cite{BO}, and for non-spin case by Chu and Zhu \cite{CZh}. In this paper, we generalize the positive energy theorem for 3-dimensional asymptotically anti-de Sitter initial data sets to weighted asymptotically anti-de Sitter initial data sets assuming that the weighted dominant energy condition holds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_01881 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The positive energy theorem for weighted asymptotically anti-de Sitter spacetimes Wang, Yaohua Zhang, Xiao General Relativity and Quantum Cosmology Differential Geometry The positive energy theorem for weighted asymptotically flat spin manifolds was proved by Baldauf and Ozuch \cite{BO}, and for non-spin case by Chu and Zhu \cite{CZh}. In this paper, we generalize the positive energy theorem for 3-dimensional asymptotically anti-de Sitter initial data sets to weighted asymptotically anti-de Sitter initial data sets assuming that the weighted dominant energy condition holds. |
| title | The positive energy theorem for weighted asymptotically anti-de Sitter spacetimes |
| topic | General Relativity and Quantum Cosmology Differential Geometry |
| url | https://arxiv.org/abs/2403.01881 |