High-frequency backreaction for the Einstein equations under $\mathbb{U}(1)$ symmetry: from Einstein-dust to Einstein-Vlasov

Cécile Huneau, Jonathan Luk

Given suitable small, localized, $\mathbb{U}(1)$-symmetric solutions to the Einstein-massless Vlasov system in an elliptic gauge, we prove that they can be approximated by high-freq…