Price’s Law on Black Hole Space-Times

DOI10.1007/978-3-0348-0466-0_33zbMath1262.83037OpenAlexW268584112MaRDI QIDQ4912973

Daniel Tataru

Publication date: 2 April 2013

Published in: Microlocal Methods in Mathematical Physics and Global Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0466-0_33

zbMATH Keywords

wave equationblack holeSchwarzschildKerrasymptotically flat space-timesPrice's law

Mathematics Subject Classification ID

Black holes (83C57) Wave equation (35L05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)

Cites Work

• Price's law on nonstationary space-times
• Global parametrices and dispersive estimates for variable coefficient wave equations
• A proof of Price's Law on Schwarzschild black hole manifolds for all angular momenta
• Improved decay for solutions to the linear wave equation on a Schwarzschild black hole
• A proof of the uniform boundedness of solutions to the wave equation on slowly rotating Kerr backgrounds
• On the Morawetz--Keel-Smith-Sogge inequality for the wave equation on a curved background
• Hidden symmetries and decay for the wave equation on the Kerr spacetime
• Strichartz estimates and local smoothing estimates for asymptotically flat Schrödinger equations
• Strichartz estimates on Schwarzschild black hole backgrounds
• Decay of solutions of the wave equation in the Kerr geometry
• Uniform decay of local energy and the semi-linear wave equation on Schwarzschild space
• A Local Energy Estimate on Kerr Black Hole Backgrounds
• Strichartz estimates on Kerr black hole backgrounds
• The Cauchy problem for the wave equation in the Schwarzschild geometry
• Parametrices and dispersive estimates for Schrödinger operators with variable coefficients
• A TIME-INDEPENDENT ENERGY ESTIMATE FOR OUTGOING SCALAR WAVES IN THE KERR GEOMETRY
• LINEAR AND NONLINEAR TAILS II: EXACT DECAY RATES IN SPHERICAL SYMMETRY
• The red‐shift effect and radiation decay on black hole spacetimes
• Local decay of waves on asymptotically flat stationary space-times
• Lectures on black holes and linear waves
• Exponential decay of solutions of the wave equation
• The Large Scale Structure of Space-Time

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