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

Abstract

Consider a spherically symmetric spacetime generated by a self-gravitating massless scalar field $\varphi$ 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 $\ell \ge 1$ the tail decays as $t^{-(2\ell +2)}$.

4 pages

References in corpus (3)

• Radiative falloff of a scalar field in a weakly curved spacetime without symmetries
• Late-time tails of a self-gravitating massless scalar field, revisited
• Late-time tails of wave maps coupled to gravity

Cited by in corpus (5)

• Quasinormal modes of black holes: from astrophysics to string theory
• Caustic echoes from a Schwarzschild black hole
• On the Relation Between Asymptotic Charges, the Failure of Peeling and Late-time Tails
• Adaptive gauge method for long-time double-null simulations of spherical black-hole spacetimes
• The Case Against Smooth Null Infinity V: Early-Time Asymptotics of Linearised Gravity Around Schwarzschild for Fixed Spherical Harmonic Modes