A note about late-time wave tails on a dynamical background

Details A note about late-time wave tails on a dynamical background A note about late-time wave tails on a dynamical background

2009-12-17

arxiv.org/abs/0912.3474v1

Phys.Rev.D81:084047,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages

Scientific paper

10.1103/PhysRevD.81.084047

Consider a spherically symmetric spacetime generated by a self-gravitating massless scalar field $\phi$ and let $\psi$ be a test (nonspherical) massless scalar field propagating on this dynamical background. Gundlach, Price, and Pullin \cite{gpp2} computed numerically the late-time tails for different multipoles of the field $\psi$ and suggested that solutions with compactly supported initial data decay in accord with Price's law as $t^{-(2\ell+3)}$ at timelike infinity. We show that in the case of the time-dependent background Price's law holds only for $\ell=0$ while for each $\ell\geq 1$ the tail decays as $t^{-(2\ell+2)}$.

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