Solutions to the Einstein constraint equations with a small TT-tensor and vanishing Yamabe invariant

Romain Gicquaud (1)

1 LMPT - Laboratoire de Mathématiques et Physique Théorique

In this note we prove an existence result for the Einstein conformal constraint equations for metrics with vanishing Yamabe invariant assuming that the TT-tensor is small in $L^2$.

Domaines: Géométrie différentielle [math.DG]; Equations aux dérivées partielles [math.AP]; Relativité Générale et Cosmologie Quantique [gr-qc]

Romain Gicquaud. Solutions to the Einstein constraint equations with a small TT-tensor and vanishing Yamabe invariant. 2018. ⟨hal-01709720⟩