The black hole stability problem

Sergiu Klainerman

doi:10.5802/crmeca.290

The black hole stability problem

Sergiu Klainerman

Mathematics

Research output: Contribution to journal › Review article › peer-review

Abstract

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 [2–6].

Original language	English (US)
Pages (from-to)	555-581
Number of pages	27
Journal	Comptes Rendus - Mecanique
Volume	353
DOIs	https://doi.org/10.5802/crmeca.290
State	Published - 2025

All Science Journal Classification (ASJC) codes

General Materials Science
Mechanics of Materials

Keywords

Black holes
GCM spheres
Non-integrable horizontal structures
Null frames
Stability

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10.5802/crmeca.290

Cite this

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author = "Sergiu Klainerman",

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AB - 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 [2–6].

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KW - GCM spheres

KW - Non-integrable horizontal structures

KW - Null frames

KW - Stability

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M3 - Review article

AN - SCOPUS:105006624122

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JO - Comptes Rendus - Mecanique

JF - Comptes Rendus - Mecanique

ER -

The black hole stability problem

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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