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

doi:10.4171/jems/1556

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

Chao Liu
Huazhong University of Science and Technology, Wuhan, P. R. China
Todd A. Oliynyk
Monash University, Clayton, Australia
Jinhua Wang
Xiamen University, Xiamen, P. R. China

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

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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. Differential Geom. 34, 275–345 (1991)] to all higher dimensions.

Cite this article

Chao Liu, Todd A. Oliynyk, Jinhua Wang, Future global existence and stability of de Sitter-like solutions to the Einstein–Yang–Mills equations in spacetime dimensions $n \geq 4$ . J. Eur. Math. Soc. (2024), published online first

DOI 10.4171/JEMS/1556