Decay Rates for Spherical Scalar Waves in the Schwarzschild Geometry
General Relativity and Quantum Cosmology
2007-09-25 v1
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.
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Cite
@article{arxiv.0709.3703,
title = {Decay Rates for Spherical Scalar Waves in the Schwarzschild Geometry},
author = {Johann Kronthaler},
journal= {arXiv preprint arXiv:0709.3703},
year = {2007}
}
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34 pages