Erratum: Decay of solutions of the wave equation in the Kerr geometry

DOI10.1007/s00220-008-0458-9zbMath1194.83014OpenAlexW2611132870MaRDI QIDQ934631

Felix Finster, Shing Tung Yau, J. A. Smoller, Niky Kamran

Publication date: 30 July 2008

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-008-0458-9

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Initial value problems for second-order hyperbolic equations (35L15) Hyperbolic equations on manifolds (58J45)

Related Items (15)

Conformal scattering on the Schwarzschild metric ⋮ A large data theory for nonlinear wave on the Schwarzschild background ⋮ The null condition and global existence for nonlinear wave equations on slowly rotating Kerr spacetimes ⋮ The decay of the \(S U(2)\) Yang-Mills fields on the Schwarzschild black hole for spherically symmetric small energy initial data ⋮ Decay of Maxwell fields on Reissner-Nordström-de Sitter black holes ⋮ Quasi-normal modes and exponential energy decay for the Kerr-de Sitter black hole ⋮ A proof of the uniform boundedness of solutions to the wave equation on slowly rotating Kerr backgrounds ⋮ Asymptotic distribution of quasi-normal modes for Kerr-de Sitter black holes ⋮ Resolvent estimates for normally hyperbolic trapped sets ⋮ Stability and instability of extreme Reissner-Nordström black hole spacetimes for linear scalar perturbations. I ⋮ A quantitative version of Hawking radiation ⋮ Exponentially growing finite energy solutions for the Klein-Gordon equation on sub-extremal Kerr spacetimes ⋮ Asymptotic completeness for superradiant Klein-Gordon equations and applications to the de Sitter-Kerr metric ⋮ Quantitative mode stability for the wave equation on the Kerr spacetime ⋮ A conserved energy for axially symmetric Newman–Penrose–Maxwell scalars on Kerr black holes

Cites Work

• An integral spectral representation of the propagator for the wave equation in the Kerr geometry
• Decay of solutions of the wave equation in the Kerr geometry
• The Cauchy problem for the wave equation in the Schwarzschild geometry

This page was built for publication: Erratum: Decay of solutions of the wave equation in the Kerr geometry