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Wave tails in non-trivial backgrounds

2000/08/01 by Shahar Hod · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Pulsars and Gravitational Waves Research #gr-qc

paper · pdf · doi:10.1088/0264-9381/18/7/313

published as Class.Quant.Grav. 18 (2001) 1311-1318 · 5 pages. 2 Figures

arxiv created 2000/08/01 · openalex publication_date 2001/03/19 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

It is well known that waves propagating in a non-trivial medium develop `tails'. However, the exact form of the late-time tail has so far been determined only for a narrow class of models. We present a systematic analysis of the tail phenomenon for waves propagating under the influence of a general , spherically symmetric scattering potential. It is shown that, generically, the late-time tail is determined by spatial derivatives of the potential. The analytical results are confirmed by numerical calculations.

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