2020/02/07 by Elena Giorgi, Sergiù Klainerman, Sergiu Klainerman +4 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #gr-qc #math-ph #math.AP #math.DG #math.MP
paper · pdf · doi:10.48550/arxiv.2002.02740
139 pages
arxiv created 2020/02/07 · openalex publication_date 2020/02/07 · arxiv updated 2020/02/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The goal of this paper is to provide a geometric framework for analyzing the uniform decay properties of solutions to the Teukolsky equation in the fully nonlinear setting of perturbations of Kerr. It contains the first nonlinear version of the Chandrasekhar transformation introduced in the linearized setting in \citeD-H-R-Kerr and \citeMa with the intent to use it in our ongoing project to prove the full nonlinear stability of slowly rotating Kerr as solution to the Einstein vacuum equations.