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20132025
most citedHigh-frequency backreaction for the Einstein equations under polarized symmetry

18 citations · 42 across the 14 of their papers we have counts for

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7 papers · 1 filter

math.AP2021★ 1 cited

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…

math.AP2021★ 3 cited

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…

math.AP2016★ 1 cited

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…

math.AP2015

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…

math.AP2014★ 1 cited

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…

math.AP2014★ 3 cited

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 +…

math.AP2013

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…