Decay Rates for Spherical Scalar Waves in the Schwarzschild Geometry
arXiv:0709.3703
Abstract
The Cauchy problem is considered for the scalar wave equation in the Schwarzschild geometry. Using an integral spectral representation we derive the exact decay rate for solutions of the Cauchy problem with spherical symmetric initial data, which is smooth and compactly supported outside the event horizon.
34 pages
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Cited by in corpus (15)
- Stability and Instability of Extreme Reissner-Nordström Black Hole Spacetimes for Linear Scalar Perturbations I
- Stability and Instability of Extreme Reissner-Nordström Black Hole Spacetimes for Linear Scalar Perturbations II
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- Lectures on black holes and linear waves
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- Local decay of waves on asymptotically flat stationary space-times
- Price's Law on Nonstationary Spacetimes
- Asymptotics for scalar perturbations from a neighborhood of the bifurcation sphere