The black hole stability problem

Sergiu Klainerman

doi:10.5802/crmeca.290

Article de synthèse

The black hole stability problem
[Le problème de la stabilité des trous noirs]

Sergiu Klainerman ¹

¹ Mathematics Department, Princeton University, USA

Comptes Rendus. Mécanique, Volume 353 (2025), pp. 555-581.

Cet article fait partie du numéro thématique Avancées récentes dans le domaine de la relativité générale : numéro en l'honneur d'Yvonne Choquet-Bruhat coordonné par Jérémie Szeftel.

Abstract (VO)
Résumé

This is a short survey on the black hole stability problem written in honor of Yvonne Choquet Bruhat’s 100th birthday, subject very dear to her and to which she has contributed greatly, in particular her foundational local existence result [1] and the maximal globally hyperbolic development of a given initial data set. The main focus is on the recent results on the stability of slowly rotating Kerr contained in the sequence of works [2, 3, 4, 5, 6].

Ce texte donne un panorama succinct du problème de la stabilité des trous noirs, rédigé en l’honneur d’ Yvonne Choquet Bruhat, un sujet qui lui est cher et auquel elle a grandement contribué, notamment grâce à son résultat fondamental d’existence locale [1] et au développement maximal globalement hyperbolique d’un ensemble de données initiales. L’accent est mis principalement sur les résultats récents concernant la stabilité du Kerr en faible rotation, tels qu’exposés dans la série de travaux [2, 3, 4, 5, 6].

Reçu le : 2024-10-15
Révisé le : 2025-02-13
Accepté le : 2025-02-14
Publié le : 2025-04-16

DOI : 10.5802/crmeca.290

Keywords: Black holes, Stability, GCM spheres, Null frames, Non-integrable horizontal structures
Mots-clés : Trous noirs, Stabilité, Sphères GCM, Repères nuls, Structures horizontales non intégrables

Affiliations des auteurs :

Sergiu Klainerman ¹

¹ Mathematics Department, Princeton University, USA

Licence :

CC-BY 4.0

Droits d'auteur : Les auteurs conservent leurs droits

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Sergiu Klainerman. The black hole stability problem. Comptes Rendus. Mécanique, Volume 353 (2025), pp. 555-581. doi : 10.5802/crmeca.290. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.290/

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