Evolution dynamics of spinning binaries in effective-one-body theory to fifth Post-Minkowskian order
Abstract
This paper investigates a self-consistent effective-one-body (EOB) theory developed to describe the dynamics of spinning binary systems. We systematically derive, using field-theoretic principles, all expressions and quantities entering Hamilton's equations, which govern the dynamical evolution of the system. Based on the effective rotating metric up to fifth post-Minkowskian (PM) order recently obtained by us, we construct the Hamiltonian and the stress-energy tensor. We then derive a decoupled, separable Teukolsky-like equation with a source term for the Newman--Penrose Weyl scalar ψ4B and present its formal solution. Finally, using this solution, we obtain the energy flux, radiation-reaction force, and gravitational waveforms for the ``plus'' and ``cross'' polarizations generated by spinning binaries. The EOB theory applies to systems with arbitrary mass ratio, which filling the gap between comparable mass ratios and extreme mass ratios.
Versions
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BibTeX
@misc{jing2026evolution,
title = {{Evolution dynamics of spinning binaries in effective-one-body theory to fifth Post-Minkowskian order}},
author = {Jiliang Jing and Sheng Long and Weike Deng and Jieci Wang},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.27251},
eprint = {2609.27251},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.27251},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Evolution dynamics of spinning binaries in effective-one-body theory to fifth Post-Minkowskian order
AU - Jiliang Jing
AU - Sheng Long
AU - Weike Deng
AU - Jieci Wang
PY - 2026
DA - 2026/09/23
PB - arXiv
DO - 10.48550/arxiv.2609.27251
UR - https://arxiv.org/abs/2609.27251
AB - This paper investigates a self-consistent effective-one-body (EOB) theory developed to describe the dynamics of spinning binary systems. We systematically derive, using field-theoretic principles, all expressions and quantities entering Hamilton's equations, which govern the dynamical evolution of the system. Based on the effective rotating metric up to fifth post-Minkowskian (PM) order recently obtained by us, we construct the Hamiltonian and the stress-energy tensor. We then derive a decoupled, separable Teukolsky-like equation with a source term for the Newman--Penrose Weyl scalar ψ_4^B and present its formal solution. Finally, using this solution, we obtain the energy flux, radiation-reaction force, and gravitational waveforms for the ``plus'' and ``cross'' polarizations generated by spinning binaries. The EOB theory applies to systems with arbitrary mass ratio, which filling the gap between comparable mass ratios and extreme mass ratios.
ER -