A class of solutions to the conformal constraint equations on compact manifolds with apparent horizon boundary conditions - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2022

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

Jean-David Pailleron
  • Fonction : Auteur
Institut Denis Poisson

Résumé

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.

Domaines

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

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https://hal.science/hal-03837049

Soumis le : mercredi 2 novembre 2022-16:13:54

Dernière modification le : lundi 1 juillet 2024-15:34:05

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Dates et versions

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

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Citer

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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