Future global existence and stability of de Sitter-like solutions to the Einstein–Yang–Mills equations in spacetime dimensions $n\geq 4$
We establish the global existence and stability to the future of non-linear perturbation of de Sitter-like solutions to the Einstein–Yang–Mills system in n\geq 4 spacetime dimension. This generalizes Friedrich’s Einstein–Yang–Mills stability results in dimension n=4 [J. Differential Geom. 34 , 275–345 (1991)] to all higher dimensions.
Authors
- Todd A. Oliynyk (ORCID: https://orcid.org/0000-0003-3457-9578)
- Jinhua Wang (ORCID: https://orcid.org/0000-0002-8209-9387)
- Chao Liu (ORCID: https://orcid.org/0000-0002-7559-9447)
Institutions
- Xiamen University (CN)
- Huazhong University of Science and Technology (CN)
- Monash University (AU)
Publication Details
- Journal
- Journal of the European Mathematical Society
- Published
- 2024-11-29
- DOI
- https://doi.org/10.4171/jems/1556
- Citations
- 1
- Primary Topic
- Advanced Mathematical Physics Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.89