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arXiv · 2202.05432

Future global existence and stability of de Sitter-like solutions to the Einstein-Yang-Mills equations in spacetime dimensions $n\geq 4$

Chao Liu·Todd A. Oliynyk·Jinhua Wang
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Abstract

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.

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Chao Liu, Todd A. Oliynyk, Jinhua Wang. 2022-02-11. Future global existence and stability of de Sitter-like solutions to the Einstein-Yang-Mills equations in spacetime dimensions $n\geq 4$. https://arxiv.org/abs/2202.05432

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