Decay Rates for Spherical Scalar Waves in the Schwarzschild Geometry

Details Decay Rates for Spherical Scalar Waves in the Schwarzschild Geometry Decay Rates for Spherical Scalar Waves in the Schwarzschild Geometry

2007-09-24

arxiv.org/abs/0709.3703v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

34 pages

Scientific paper

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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