Inspiral-inherited ringdown tails
Marina De Amicis, Simone Albanesi, Gregorio Carullo

TL;DR
This paper analytically and numerically investigates the late-time relaxation (tails) of perturbed Schwarzschild black holes, revealing how orbital eccentricity enhances tail signals and implications for gravitational wave observations.
Contribution
It provides an analytical model for black hole tail relaxation that accounts for complex orbital dynamics and explains tail enhancement in eccentric binaries.
Findings
The late-time tail is a superposition of power-laws, with the slowest being Price's law.
Eccentric orbits significantly amplify tail signals, especially near plunge.
Tail amplitudes can be accurately extracted from late inspiral stages even for high eccentricities.
Abstract
We study the late-time relaxation of a perturbed Schwarzschild black hole, driven by a source term representing an infalling particle in generic orbits. We consider quasi-circular and eccentric binaries, dynamical captures and radial infalls, with orbital dynamics driven by an highly accurate analytical radiation reaction. After reviewing the description of the late-time behaviour as an integral over the whole inspiral history, we derive an analytical expression exactly reproducing the slow relaxation observed in our numerical evolutions, obtained with a hyperboloidal compactified grid, for a given particle trajectory. We find this signal to be a superposition of an infinite number of power-laws, the slowest decaying term being Price's law. Next, we use our model to explain the several orders-of-magnitude enhancement of tail terms for binaries in non-circular orbits, shedding light on…
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Taxonomy
TopicsMechanisms of cancer metastasis
