Decay rates for spherical scalar waves in the Schwarzschild geometry

Sep, 2007
34 pages
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200820112014201720201230
Abstract: (arXiv)
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.
  • space-time: Schwarzschild
  • boundary condition
  • spectral representation
  • field equations: scalar
  • solution: decay