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Preprints, Working Papers, ... Year : 2022

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

Abstract

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.

Dates and versions

hal-03837049 , version 1 (02-11-2022)

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