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arXiv · 2510.13958

Transition-to-plunge self-force waveforms with a spinning primary

Loïc Honet·Lorenzo Küchler·Adam Pound·Geoffrey Compère
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Abstract

With the upcoming third-generation gravitational-wave detectors comes the need to build complete, faithful, and fast waveform models for asymmetric-mass-ratio compact binaries. Most efforts within the self-force community have focused on modeling these binaries' inspiral regime, but for ground-based detectors the systems' final merger can represent the dominant part of the signal. Recent work by three of us has extended the multiscale self-force framework through the transition-to-plunge and merger-ringdown regimes for nonspinning binaries. In this paper, we generalize the next-to-next-to-leading-order transition-to-plunge waveform model to include the spin of the primary black hole. We also improve the construction of composite inspiral-transition waveform models by performing a change of variables on the binary's mechanical phase space during the transition to plunge. We provide detailed discussions of our numerical implementation and comparisons with numerical relativity simulations.

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Loïc Honet, Lorenzo Küchler, Adam Pound, Geoffrey Compère. 2025-10-15. Transition-to-plunge self-force waveforms with a spinning primary. https://doi.org/10.1103/sq6y-qv8h

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