Decay Rates for Spherical Scalar Waves in the Schwarzschild Geometry

Decay Rates for Spherical Scalar Waves in the Schwarzschild Geometry

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 h...

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Veröffentlicht in:arXiv.org 2007-09
1. Verfasser: Kronthaler, Johann
Format: Artikel
Sprache:eng
Schlagworte:
Cauchy problems
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Zusammenfassung: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.
ISSN:2331-8422