The Cauchy problem for the wave equation in the Schwarzschild geometry

DOI10.1063/1.2186258zbMath1111.83008arXivgr-qc/0601131OpenAlexW3104037545MaRDI QIDQ3441694

Johann Kronthaler

Publication date: 16 May 2007

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

Full work available at URL: https://arxiv.org/abs/gr-qc/0601131

Mathematics Subject Classification ID

Black holes (83C57) Integral representations of solutions to PDEs (35C15) Initial value problems for second-order hyperbolic equations (35L15) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (8)

Potential functions admitted by well-known spherically symmetric static spacetimes ⋮ A proof of Price's Law on Schwarzschild black hole manifolds for all angular momenta ⋮ Asymptotic behavior of massless Dirac waves in Schwarzschild geometry ⋮ Price's law on nonstationary space-times ⋮ Fundamental solutions for the Klein-Gordon equation in de Sitter spacetime ⋮ Erratum: Decay of solutions of the wave equation in the Kerr geometry ⋮ Price’s Law on Black Hole Space-Times ⋮ Linear waves in the Kerr geometry: A mathematical voyage to black hole physics

Cites Work

• An integral spectral representation of the propagator for the wave equation in the Kerr geometry
• A proof of Price's law for the collapse of a self-gravitating scalar field
• Scalar waves on a naked-singularity background
• Stability of a Schwarzschild Singularity
• Linear stability of Schwarzschild under perturbations which are non-vanishing on the bifurcation 2-sphere
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