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Cited by 279

The DOI matches its Crossref record; 20 of the 20 references it cites were found in a registry or an index.

Wave propagation in gravitational systems: Late time behavior

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Ching, E. S. C., Leung, P. T., Suen, W. M., Young, K.·1995·Physical Review D
DOI 10.1103/physrevd.52.2118
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Abstract

It is well known that the dominant late time behavior of waves propagating on a Schwarzschild spacetime is a power-law tail; tails for other spacetimes have also been studied. This paper presents a systematic treatment of the tail phenomenon for a broad class of models via a Green's function formalism and establishes the following. (i) The tail is governed by a cut of the frequency Green's function G\ifmmode \tilde{}\else \~{}\fi{}(\ensuremath{\omega}) along the -Im\ensuremath{\omega} axis, generalizing the Schwarzschild result. (ii) The \ensuremath{\omega} dependence of the cut is determined by the asymptotic but not the local structure of space. In particular it is independent of the presence of a horizon, and has the same form for the case of a star as well. (iii) Depending on the spatial asymptotics, the late time decay is not necessarily a power law in time. The Schwarzschild case with a power-law tail is exceptional among the class of the potentials having a logarithmic spatial dependence. (iv) Both the amplitude and the time dependence of the tail for a broad class of models are obtained analytically. (v) The analytical results are in perfect agreement with numerical calculations.

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Metadata

Authors
Ching, E. S. C., Leung, P. T., Suen, W. M., & Young, K.
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
1995-08-15
Volume
52
Issue
4
Pages
2118-2132
ISSN
0556-2821 (ISSN-L)
DOI
10.1103/physrevd.52.2118
OpenAlex
W2023684173
Cited by
279
References
20
FWCI
4.90
Type
journal article
Language
en
Open access
green

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