The Cauchy Problem for the Wave Equation in the Schwarzschild Geometry

Details The Cauchy Problem for the Wave Equation in the Schwarzschild Geometry The Cauchy Problem for the Wave Equation in the Schwarzschild Geometry

2006-01-30

arxiv.org/abs/gr-qc/0601131v1

J.Math.Phys. 47 (2006) 042501

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

33 pages

Scientific paper

10.1063/1.2186258

The Cauchy problem is considered for the scalar wave equation in the
Schwarzschild geometry. We derive an integral spectral representation for the
solution and prove pointwise decay in time.

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