Anomalously small wave tails in higher dimensions

Abstract

We consider the late-time tails of spherical waves propagating on even-dimensional Minkowski spacetime under the influence of a long range radial potential. We show that in six and higher even dimensions there exist exceptional potentials for which the tail has an anomalously small amplitude and fast decay. Along the way we clarify and amend some confounding arguments and statements in the literature of the subject.

13 pages

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Cited by in corpus (11)

• Quasinormal modes of black holes: from astrophysics to string theory
• Late-time tails of a self-gravitating massless scalar field, revisited
• Linear and nonlinear tails II: exact decay rates in spherical symmetry
• Scattering by a long-range potential
• Late-time tails of wave maps coupled to gravity
• Asymptotic late-time tails of massive spin-2 fields
• Decay estimates for the one-dimensional wave equation with an inverse power potential
• Dynamics at the threshold for blowup for supercritical wave equations outside a ball
• Nonlinear stability of the Taub-NUT soliton in 6+1 dimensions
• A note on late-time tails of spherical nonlinear waves
• Decay estimates for One-dimensional wave equations with inverse power potentials