2021/04/24 by Sergiù Klainerman, Klainerman, Sergiu, Jérémie Szeftel +1 · 4 citations
Medicine · Physics and Astronomy · #58J45 #83C10 #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories #Soft tissue tumor case studies
paper · pdf · doi:10.48550/arxiv.2104.11857
openalex publication_date 2021/04/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This is our main paper in a series in which we prove the full, unconditional, nonlinear stability of the Kerr family Kerr(a, m) for small angular momentum, i.e. |a|/m≪ 1, in the context of asymptotically flat solutions of the Einstein vacuum equations (EVE). Three papers in the series, \citeKS-GCM1 and \citeKS-GCM2 and \citeGKS1 have already been released. We expect that the remaining ones \citeGKS2, \citeKS:Kerr-B and \citeShen will appear shortly. Our work extends the strategy developed in \citeKS, in which only axial polarized perturbations of Schwarzschild were treated, by developing new geometric and analytic ideas on how to deal with with general perturbations of Kerr. We note that the restriction to small angular momentum appears only in connection to Morawetz type estimates in \citeGKS2 and \citeKS:Kerr-B