18 citations · 42 across the 14 of their papers we have counts for
15 papers
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…
Einstein Constraint Equations for Kaluza-Klein Spacetimes
Cécile Huneau, Caterina Vâlcu
The aim of this article is to construct initial data for the Einstein equations on manifolds of the form R n+1 x T m , which are asymptotically flat at infinity, without assuming a…
Global well-posedness for a system of quasilinear wave equations on a product space
Cécile Huneau, Annalaura Stingo
We consider a system of quasilinear wave equations on the product space , which we want to see as a toy model for Einstein equations with addit…
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…
Instability of infinitely many stationary solutions of the SU(2) Yang-Mills fields on the exterior of the Schwarzschild black hole
Dietrich Häfner, Cécile Huneau
We consider the spherically symmetric SU(2) Yang-Mills Fields on the Schwarzschild metric. Within the so called purely magnetic Ansatz we show that there exists a countable number…
Stability of Minkowski Space-time with a translation space-like Killing field
Cécile Huneau
In this paper we prove the nonlinear stability of Minkowski space-time with a translation Killing field. In the presence of such a symmetry, the 3 + 1 vacuum Einstein equations red…
Constraint equations for 3 + 1 vacuum Einstein equations with a translational space-like Killing field in the asymptotically flat case II
Cécile Huneau
We solve the Einstein constraint equations for a 3 + 1 dimensional vacuum spacetime with a space-like translational Killing field in the asymptotically flat case.. The presence of…
Stability in exponential time of Minkowski Space-time with a translation space-like Killing field
Cécile Huneau
In this paper, we prove the nonlinear stability in exponential time of Minkowki space-time with a translation space-like Killing field. In the presence of such a symmetry, the 3 +…
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…
Constraint equations for 3 + 1 vacuum Einstein equations with a translational space-like Killing field in the asymptotically flat case
Cecile Huneau
We solve the constraint equations for a vacuum space-time with a translational space-like Killing field satisfying the vacuum Einstein equations. Vacuum Einstein equations with a t…