Post-adiabatic self-force waveforms: slowly spinning primary and precessing secondary

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Main Authors: Mathews, Josh, Wardell, Barry, Pound, Adam, Warburton, Niels
Format: Preprint
Published: 2025
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author Mathews, Josh
Wardell, Barry
Pound, Adam
Warburton, Niels
author_facet Mathews, Josh
Wardell, Barry
Pound, Adam
Warburton, Niels
contents Recent progress in gravitational self-force theory has led to the development of a first post-adiabatic (1PA) waveform model for nonspinning, quasicircular compact binaries [Phys. Rev. Lett. 130, 241402 (2023)]. In this paper, we extend that model to allow for a slowly spinning primary black hole and a generic, precessing spin on the secondary object, restricting to the case of small misalignment between the primary spin and the orbital angular momentum. We demonstrate excellent agreement between our waveforms and fully nonlinear numerical relativity simulations for mass ratios $q\gtrsim 5$ and primary spins $|χ_1|\lesssim 0.1$ and arbitrary secondary spin $χ_2 \lesssim 1$. In particular we present the re-summed 1PAT1R waveform model, which significantly improves the accuracy of the original 1PAT1 waveforms for comparable masses and increasing primary spin. Our models are publicly available in the WaSABI package.
format Preprint
id arxiv_https___arxiv_org_abs_2510_16113
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Post-adiabatic self-force waveforms: slowly spinning primary and precessing secondary
Mathews, Josh
Wardell, Barry
Pound, Adam
Warburton, Niels
General Relativity and Quantum Cosmology
High Energy Astrophysical Phenomena
Recent progress in gravitational self-force theory has led to the development of a first post-adiabatic (1PA) waveform model for nonspinning, quasicircular compact binaries [Phys. Rev. Lett. 130, 241402 (2023)]. In this paper, we extend that model to allow for a slowly spinning primary black hole and a generic, precessing spin on the secondary object, restricting to the case of small misalignment between the primary spin and the orbital angular momentum. We demonstrate excellent agreement between our waveforms and fully nonlinear numerical relativity simulations for mass ratios $q\gtrsim 5$ and primary spins $|χ_1|\lesssim 0.1$ and arbitrary secondary spin $χ_2 \lesssim 1$. In particular we present the re-summed 1PAT1R waveform model, which significantly improves the accuracy of the original 1PAT1 waveforms for comparable masses and increasing primary spin. Our models are publicly available in the WaSABI package.
title Post-adiabatic self-force waveforms: slowly spinning primary and precessing secondary
topic General Relativity and Quantum Cosmology
High Energy Astrophysical Phenomena
url https://arxiv.org/abs/2510.16113