Hushing black holes: tails in dynamical spacetimes

TL;DR

This paper investigates the late-time behavior of dynamical black hole spacetimes, revealing a new source-driven tail that can dominate traditional decay patterns, especially in the presence of matter and nonlinear effects.

Contribution

It introduces a novel source-driven tail in dynamical black hole spacetimes, extending understanding beyond linear decay to include matter and nonlinear influences.

Findings

Discovered a new tail behavior driven by sources in nonlinear spacetimes.

Showed that this tail can dominate over classical Price decay.

Provided insights into the late-time dynamics of black holes with matter.

Abstract

Stationary, asymptotically flat, black hole solutions of the vacuum field equations of General Relativity belong to the Kerr family. But how does one approach this state, dynamically? Linearized fluctuations decay at late times, at fixed spatial position, as a Price power law for generic initial conditions. However, little attention was paid to forced and nonlinear spacetimes, where matter and nonlinearities play a role. We uncover a new, source-driven tail governing waves generated by pointlike matter and nonlinearities, which can dominate over Price's decay.