Conservative Spin-Magnitude Change in Orbital Evolution in General Relativity

We show that physical scattering observables for compact spinning objects in general relativity can depend on additional degrees of freedom in the spin tensor beyond those described by the spin vector alone. The impulse, spin kick, and leading-order waveforms exhibit such a nontrivial dependence. A signal of this additional structure is the change in the magnitude of the spin vector under conservative Hamiltonian evolution, similar to our previous studies in electrodynamics. These additional degrees of freedom describe dynamical mass multipoles of compact objects and decouple for black holes. We also show that the conservative impulse, spin kick, and change of the additional degrees of freedom are encoded in the eikonal phase.

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Publication Details

Journal
Physical Review Letters
Published
2025-03-14
DOI
https://doi.org/10.1103/physrevlett.134.101602
Citations
12
Primary Topic
Pulsars and Gravitational Waves Research
Type
article
Field-Weighted Citation Impact
13.86

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article

Conservative Spin-Magnitude Change in Orbital Evolution in General Relativity

Trevor Scheopner, Zvi Bern, Dimitrios Kosmopoulos, Radu Roiban et al.
12 citations
Physical Review Letters
Pulsars and Gravitational Waves Research
13.86
article

Conservative Spin-Magnitude Change in Orbital Evolution in General Relativity

Trevor Scheopner, Zvi Bern, Dimitrios Kosmopoulos, Radu Roiban, Andrés Luna, Fei Teng, Mark Alaverdian
article en
12 citations

Abstract

We show that physical scattering observables for compact spinning objects in general relativity can depend on additional degrees of freedom in the spin tensor beyond those described by the spin vector alone. The impulse, spin kick, and leading-order waveforms exhibit such a nontrivial dependence. A signal of this additional structure is the change in the magnitude of the spin vector under conservative Hamiltonian evolution, similar to our previous studies in electrodynamics. These additional degrees of freedom describe dynamical mass multipoles of compact objects and decouple for black holes. We also show that the conservative impulse, spin kick, and change of the additional degrees of freedom are encoded in the eikonal phase.

Physical Review LettersVol. 134(10)
University of Geneva (CH), Pennsylvania State University (US), University of California, Los Angeles (US)
National Science Foundation, U.S. Department of Energy, European Commission, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung, Horizon 2020 Framework Programme, HORIZON EUROPE Marie Sklodowska-Curie Actions
Peace, Justice and strong institutions
Openalex Percentile: Top 1%
Pulsars and Gravitational Waves Research
13.86
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