Future global existence and stability of de Sitter-like solutions to the Einstein-Yang-Mills equations in spacetime dimensions $n\geq 4$
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866916087439818752 |
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| author | Liu, Chao Oliynyk, Todd A. Wang, Jinhua |
| author_facet | Liu, Chao Oliynyk, Todd A. Wang, Jinhua |
| contents | 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 Differ Geom 34 (1991), 275-345] to all higher dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_05432 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Future global existence and stability of de Sitter-like solutions to the Einstein-Yang-Mills equations in spacetime dimensions $n\geq 4$ Liu, Chao Oliynyk, Todd A. Wang, Jinhua General Relativity and Quantum Cosmology Analysis of PDEs 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 Differ Geom 34 (1991), 275-345] to all higher dimensions. |
| title | Future global existence and stability of de Sitter-like solutions to the Einstein-Yang-Mills equations in spacetime dimensions $n\geq 4$ |
| topic | General Relativity and Quantum Cosmology Analysis of PDEs |
| url | https://arxiv.org/abs/2202.05432 |