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

Key findings from this study

• The authors generalized next-to-next-to-leading-order transition-to-plunge waveforms to include primary black hole spin effects.
• The study improved composite inspiral-transition waveform construction through canonical transformations in the binary's mechanical phase space.
• The researchers demonstrated agreement between the extended self-force model and numerical relativity simulations.

Overview

The study extends a multiscale self-force framework to model asymmetric-mass-ratio black hole binaries through the transition-to-plunge phase, accounting for primary black hole spin. Previous work covered this regime for nonspinning systems; this generalization incorporates spin effects critical for third-generation gravitational-wave detector predictions. The authors improve composite waveform construction through phase space variable transformations during the transition to plunge.

Methods and approach

The researchers generalized next-to-next-to-leading-order transition-to-plunge waveform models by including primary black hole spin. They performed a change of variables in the binary's mechanical phase space to improve composite inspiral-transition waveform assembly. Numerical implementation details received thorough documentation alongside direct comparison with numerical relativity simulations to validate the model.

Results

The extended model successfully captures transition-to-plunge waveforms for spinning primaries within the self-force framework. The variable transformation approach yields improved composite waveform models connecting inspiral and plunge regimes. Comparisons with numerical relativity simulations demonstrate agreement between the analytical framework and high-resolution gravitational dynamics calculations.

Implications

Third-generation gravitational-wave detectors require precise waveform templates across all binary evolution phases. Ground-based detector sensitivity peaks near merger, making accurate transition-to-plunge and ringdown modeling essential for parameter extraction and source characterization. The inclusion of primary spin extends the applicability of self-force models to realistic astrophysical black hole binaries, where spin plays a fundamental dynamical role.

The improved composite waveform construction methodology generalizes beyond the spinning case examined here. The phase space variable transformation technique provides a systematic approach for connecting distinct orbital regimes with different physical characteristics. This framework supports systematic improvements in waveform accuracy as detector sensitivities increase and mass ratios of observable binaries vary.

Accurate modeling of the transition-to-plunge regime addresses a critical gap between inspiral-dominated templates and numerical merger simulations. Enhanced waveform fidelity reduces systematic uncertainties in tests of general relativity using gravitational-wave observations. The methodology enables rapid waveform generation compatible with detector data analysis pipelines while maintaining physical accuracy.

Scope and limitations

This summary is based on the study abstract and available metadata. It does not include a full analysis of the complete paper, supplementary materials, or underlying datasets unless explicitly stated. Findings should be interpreted in the context of the original publication.