Linear stability of higher dimensional Schwarzschild spacetimes: decay of master quantities

DOI10.1007/s40818-020-00083-xzbMath1462.35390arXiv1809.05144OpenAlexW3039263227MaRDI QIDQ2658701

Jordan Keller, Pei-Ken Hung, Mu-Tao Wang

Publication date: 23 March 2021

Published in: Annals of PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.05144

zbMATH Keywords

vacuum Einstein equations, Schwarzschild spacetimes, black holes

Mathematics Subject Classification ID

Black holes (83C57) Stability in context of PDEs (35B35) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational waves (83C35) Einstein equations (35Q76)

Cites Work

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• Decay for solutions of the wave equation on Kerr exterior spacetimes. III: The full subextremalcase \(|a| < M\).
• Decay of linear waves on higher-dimensional Schwarzschild black holes
• Improved decay for solutions to the linear wave equation on a Schwarzschild black hole
• Hidden symmetries and decay for the wave equation on the Kerr spacetime
• Strichartz estimates on Schwarzschild black hole backgrounds
• Decay of solutions of the wave equation in the Kerr geometry
• Semilinear wave equations on the Schwarzschild manifold. I: Local decay estimates.
• The global non-linear stability of the Kerr-de Sitter family of black holes
• The \(r^{p}\)-weighted energy method of Dafermos and Rodnianski in general asymptotically flat spacetimes and applications
• Morawetz estimate for linearized gravity in Schwarzschild
• Uniform energy bound and Morawetz estimate for extreme components of spin fields in the exterior of a slowly rotating Kerr black hole. I: Maxwell field
• The linear stability of the Schwarzschild solution to gravitational perturbations in the generalised wave gauge
• A space-time integral estimate for a large data semi-linear wave equation on the Schwarzschild manifold
• The linear stability of the Schwarzschild solution to gravitational perturbations
• A new physical-space approach to decay for the wave equation with applications to black hole spacetimes
• A Local Energy Estimate on Kerr Black Hole Backgrounds
• Stability of a Schwarzschild Singularity
• The red‐shift effect and radiation decay on black hole spacetimes
• Linear stability of Schwarzschild under perturbations which are non-vanishing on the bifurcation 2-sphere
• Stability of Higher-Dimensional Schwarzschild Black Holes
• A Master Equation for Gravitational Perturbations of Maximally Symmetric Black Holes in Higher Dimensions

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