Inspiral-inherited ringdown tails

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 recent unexpected results obtained in numerical evolutions. In particular, we show the dominant terms controlling the enhancement to be activated when the particle is far from the BH, with small tangential and radial velocities soon before the plunge. As we corroborate with semi-analytical calculations, this implies that for large eccentricities the tail amplitude can be correctly extracted even when starting to evolve only from the last apastron before merger. We discuss the implications of these findings on the extraction of late-time tail terms in non-linear evolutions, and possible observational consequences. We also briefly comment on the scattering scenario, and on the connection with the soft graviton theorem.

28 pages, 18 figures

References in corpus (17)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• Gauge-invariant Non-spherical Metric Perturbations of Schwarzschild Black-Hole Spacetimes
• A faithful analytical effective one body waveform model for spin-aligned, moderately eccentric, coalescing black hole binaries
• Gravitational waveforms for compact binaries from second-order self-force theory
• Binary black hole merger in the extreme mass ratio limit
• Binary black hole merger in the extreme-mass-ratio limit: a multipolar analysis
• Effective-one-body waveforms from dynamical captures in black hole binaries
• Binary black hole coalescence in the large-mass-ratio limit: the hyperboloidal layer method and waveforms at null infinity
• Effective one-body model for extreme-mass-ratio spinning binaries on eccentric equatorial orbits: testing radiation reaction and waveform
• Horizon-absorption effects in coalescing black-hole binaries: An effective-one-body study of the non-spinning case
• Faithful effective-one-body waveform of small-mass-ratio coalescing black hole binaries: the eccentric, nonspinning, case
• Asymptotics of Schwarzschild black hole perturbations
• Unveiling the merger structure of black hole binaries in generic planar orbits
• Ringdown amplitudes of nonspinning eccentric binaries
• Numerical-relativity validation of effective-one-body waveforms in the intermediate-mass-ratio regime
• Hushing black holes: tails in dynamical spacetimes
• Interplay between numerical relativity and perturbation theory : finite size effects

Cited by in corpus (17)

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• Late-time tails in nonlinear evolutions of merging black holes
• Dynamical quasinormal mode excitation
• Merging black holes with Cauchy-characteristic matching: Computation of late-time tails
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• Quantifying Systematic Biases in Black Hole Spectroscopy
• Real modes and null memory contributions in effective-one-body models
• Ringdown spectroscopy of phenomenologically modified black holes
• Approach to the separatrix with eccentric orbits
• Analysis of late-time tails in spin-aligned eccentric binary black hole mergers
• Numerical computation of electromagnetically sourced nonlinear tails
• GW250114 reveals black hole horizon signatures
• Excitation factors for horizonless compact objects: long-lived modes, echoes, and greybody factors
• Gravitational Wave Signatures of Quasi-Periodic Eruptions: LISA Detection Prospects for RX J1301.9+2747