18 citations · 42 across the 14 of their papers we have counts for
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High-frequency backreaction for the Einstein equations under symmetry: from Einstein-dust to Einstein-Vlasov
Cécile Huneau, Jonathan Luk
Given suitable small, localized, -symmetric solutions to the Einstein-massless Vlasov system in an elliptic gauge, we prove that they can be approximated by high-freq…
High-frequency solutions to the Einstein equations
Cécile Huneau, Jonathan Luk
We review recent mathematical results concerning the high-frequency solutions to the Einstein vacuum equations and the limits of these solutions. In particular, we focus on two con…
Burnett's conjecture in generalized wave coordinates
Cécile Huneau, Jonathan Luk
We prove Burnett's conjecture in general relativity when the metrics satisfy a generalized wave coordinate condition, i.e., suppose is a sequence of Lorentzi…
The global stability of the Kaluza-Klein spacetime
Cécile Huneau, Annalaura Stingo, Zoe Wyatt
In this paper we show the classical global stability of the flat Kaluza-Klein spacetime, which corresponds to Minkowski spacetime in $\m R^{1+4}$ with one direction compactified on…
Trilinear compensated compactness and Burnett's conjecture in general relativity
Cécile Huneau, Jonathan Luk
Consider a sequence of Lorentzian metrics on a manifold satisfying the Einstein vacuum equation . Suppose there ex…
High-frequency backreaction for the Einstein equations under polarized symmetry
Cécile Huneau, Jonathan Luk
Known examples in plane symmetry or Gowdy symmetry show that given a -parameter family of solutions to the vacuum Einstein equations, it may have a weak limit which does not sat…
Einstein equations under polarized symmetry in an elliptic gauge
Cécile Huneau, Jonathan Luk
We prove local existence of solutions to the Einstein--null dust system under polarized symmetry in an elliptic gauge. Using in particular the previous work of the f…
Limit equation for vacuum Einstein constraints with a translational Killing vector field in the compact hyperbolic case
Romain Gicquaud, Cecile Huneau
We construct solutions to the constraint equations in general relativity using the limit equation criterion introduced by Dahl, Humbert and the first author. We focus on solutions…