A class of solutions to the conformal constraint equations on compact manifolds with apparent horizon boundary conditions

Jean-David Pailleron (1)

1 IDP - Institut Denis Poisson

This article is dedicated to solving the Einstein constraint equations with apparent horizon boundaries and freely specified mean curvature. The main novelty is that we study the conformal constraint equations assuming only low regularity.

Mots clés: Einstein constraint equations, non-constant mean curvature, confor- mal method, Lichnerowicz equation, compact manifold, apparent horizon

Domaines: Relativité Générale et Cosmologie Quantique [gr-qc]; Physique mathématique [math-ph]

Jean-David Pailleron. A class of solutions to the conformal constraint equations on compact manifolds with apparent horizon boundary conditions. 2022. ⟨hal-03837049⟩