On the regularity problems of Einstein equations

Qian Wang

doi:10.5802/crmeca.278

Article de synthèse

On the regularity problems of Einstein equations
[Sur les problèmes de régularité pour les équations d’Einstein]

Qian Wang ¹

¹ Mathematical Institute, University of Oxford, UK

Comptes Rendus. Mécanique, Volume 353 (2025), pp. 151-175.

Résumé
Abstract

Dans cette enquête, nous rendons compte des progrès récents dans le problème de la bonne pose locale des équations d’Einstein en (3+1)-D avec une faible régularité et ses applications.

In this survey, we provide a review of recent progresses in the local well-posedness problem of Einstein equations in (3+1)-D with low regularity and its applications.

Reçu le : 2024-11-04
Révisé le : 2024-12-05
Accepté le : 2024-12-05
Publié le : 2025-01-20

DOI : 10.5802/crmeca.278

Keywords: Cauchy problem, Einstein equations, Local well-posedness
Mots-clés : Problème de Cauchy, Équations d’Einstein, Bien-posé local

Affiliations des auteurs :

Qian Wang ¹

¹ Mathematical Institute, University of Oxford, UK

Licence :

CC-BY 4.0

Droits d'auteur : Les auteurs conservent leurs droits

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     title = {On the regularity problems of {Einstein} equations},
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     publisher = {Acad\'emie des sciences, Paris},
     volume = {353},
     year = {2025},
     doi = {10.5802/crmeca.278},
     language = {en},
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Qian Wang. On the regularity problems of Einstein equations. Comptes Rendus. Mécanique, Volume 353 (2025), pp. 151-175. doi : 10.5802/crmeca.278. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.278/

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