Wave Tails in Time Dependent Backgrounds
Abstract
It is well-known that waves propagating under the influence of a scattering potential develop ``tails''. However, the study of late-time tails has so far been restricted to time-independent backgrounds. In this paper we explore the late-time evolution of spherical waves propagating under the influence of a time-dependent scattering potential. It is shown that the tail structure is modified due to the temporal dependence of the potential. The analytical results are confirmed by numerical calculations.
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