The linear stability of the Schwarzschild solution to gravitational perturbations in the generalised wave gauge

DOI10.1007/s40818-019-0069-0zbMath1436.35038arXiv1810.01337OpenAlexW3098172686MaRDI QIDQ2310462

Thomas William Johnson

Publication date: 6 April 2020

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

Full work available at URL: https://arxiv.org/abs/1810.01337

zbMATH Keywords

Einstein vacuum equationsSchwarzschild family of black holes

Mathematics Subject Classification ID

Black holes (83C57) Stability in context of PDEs (35B35) PDEs in connection with relativity and gravitational theory (35Q75) Hyperbolic equations on manifolds (58J45) Einstein equations (35Q76)

Related Items (16)

Stable black holes: in vacuum and beyond ⋮ Electromagnetic-gravitational perturbations of Kerr–Newman spacetime: The Teukolsky and Regge–Wheeler equations ⋮ Linear stability of higher dimensional Schwarzschild spacetimes: decay of master quantities ⋮ Linear stability of slowly rotating Kerr black holes ⋮ Decay estimates for the massless Vlasov equation on Schwarzschild spacetimes ⋮ Price's law for spin fields on a Schwarzschild background ⋮ Sharp decay for Teukolsky equation in Kerr spacetimes ⋮ Late-time tails and mode coupling of linear waves on Kerr spacetimes ⋮ Recent progress in general relativity ⋮ On the link between the Maxwell and linearised Einstein equations on Schwarzschild ⋮ Quasinormal modes in extremal Reissner-Nordström spacetimes ⋮ Sharp decay estimates for massless Dirac fields on a Schwarzschild background ⋮ A sharp version of Price's law for wave decay on asymptotically flat spacetimes ⋮ Explicit triangular decoupling of the separated Lichnerowicz tensor wave equation on Schwarzschild into scalar Regge-Wheeler equations ⋮ Almost Price's law in Schwarzschild and decay estimates in Kerr for Maxwell field ⋮ The stable trapping phenomenon for black strings and black rings and its obstructions on the decay of linear waves

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