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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.