An Analysis of Wave Tails based on the Geometric Optics Approximation

Details An Analysis of Wave Tails based on the Geometric Optics Approximation An Analysis of Wave Tails based on the Geometric Optics Approximation

1996-08-06

arxiv.org/abs/gr-qc/9608014v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21 pages, plain latex replaces revtex version. One figure, hard copy available on request from author

Scientific paper

The effect of the existence of tails on the propagation of scalar waves in curved space-time is considered via an analysis of flux integrals of the energy-stress-momentum tensor of the waves. The geometric optics approximation is formulated in terms of such flux integrals, and three examples are investigated in detail in order to determine the possible effects of wave tails. The approximation is valid for waves in Minkowski space-time (tail-free) and waves in Schwarzschild space-time (weak tails) but it is shown how the approximation can break down in a cosmological scenario due to destructive interference by strong tails. In this last situation, the waves do not radiate.

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