Wave propagation in gravitational systems: Late time behavior
Mar, 1995
36 pages
Published in:
- Phys.Rev.D 52 (1995) 2118-2132
e-Print:
- gr-qc/9507035 [gr-qc]
Report number:
- WUGRAV-94-8A
View in:
Citations per year
Abstract: (arXiv)
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 along the Im axis, generalizing the Schwarzschild result. (ii) The 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.- space-time: Schwarzschild
- gravitational radiation
- propagator
- potential
- time
- numerical calculations
References(15)
Figures(0)