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• W2023684173 startingPage "2118" @default.
• W2023684173 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 Gifmmode tilde{}else ~{}fi{}(ensuremath{omega}) along the -Imensuremath{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." @default.
• W2023684173 created "2016-06-24" @default.
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• W2023684173 date "1995-08-15" @default.
• W2023684173 modified "2023-09-23" @default.
• W2023684173 title "Wave propagation in gravitational systems: Late time behavior" @default.
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• W2023684173 doi "https://doi.org/10.1103/physrevd.52.2118" @default.
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