A Characterisation of Strong Wave Tails in Curved Space-Times

Details A Characterisation of Strong Wave Tails in Curved Space-Times A Characterisation of Strong Wave Tails in Curved Space-Times

1997-03-12

arxiv.org/abs/gr-qc/9703031v1

Class.Quant.Grav. 14 (1997) 1295-1308

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, Revtex, to appear in Classical and Quantum Gravity

Scientific paper

10.1088/0264-9381/14/5/030

A characterisation of when wave tails are strong is proposed. The existence of a curvature induced tail (i.e. a Green's function term whose support includes the interior of the light-cone) is commonly understood to cause backscattering of the field governed by the relevant wave equation. Strong tails are characterised as those for which the purely radiative part of the field is backscattered. With this definition, it is shown that electromagnetic waves in asymptotically flat space-times and fields governed by tail-free propagation have weak tails, but minimally coupled scalar fields in a cosmological scenario have strong tails.

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