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    Large gravitational wave phase shifts from strong three-body interactions in dense stellar clusters

    Kai Hendriks1,2,3,*, Dany Atallah2,3, Miguel Martinez2,3, Michael Zevin4,3, Lorenz Zwick1, Alessandro A. Trani1,5,6, Pankaj Saini1, János Takátsy1, and Johan Samsing1

    • 1Niels Bohr International Academy, The Niels Bohr Institute, Blegdamsvej 17, DK-2100, Copenhagen, Denmark
    • 2Department of Physics and Astronomy, Northwestern University, Evanston, Illinois 60208, USA
    • 3Center for Interdisciplinary Exploration and Research in Astrophysics (CIERA), Evanston, Illinois, USA
    • 4Adler Planetarium, 1300 South DuSable Lake Shore Drive, Chicago, Illinois, 60605, USA
    • 5Department of Astronomy, University of Conceptión, Avenida Esteban Iturra s/n Casilla 160-C Conceptión, Chile
    • 6INFN, Sezione di Trieste, I-34127, Trieste, Italy

    • *Contact author: kai.hendriks@nbi.ku.dk

    Phys. Rev. D 114, 043071 – Published 28 August, 2026

    DOI: https://doi.org/10.1103/h7q4-sd3m

    Abstract

    The phase evolution of gravitational waves (GWs) can be modulated by the astrophysical environment surrounding the source, which provides a probe for the origin of individual binary black holes (BBHs) using GWs alone. We here study the evolving phase of the GW waveform derived from a large set of simulations of BBH mergers forming in dense stellar clusters through binary-single interactions. We uncover that a well-defined fraction of the assembled eccentric GW sources will have a notable GW phase shift induced by the remaining third object. The magnitude of the GW phase shift often exceeds conservative analytical estimates due to strong three-body interactions, which occasionally results in GW sources with clearly shifted and perturbed GW waveforms. This opens up promising opportunities for current and future GW detectors, as observing such a phase shift can identify the formation environment of a BBH, as well as help to characterise the local properties of its surrounding environment.

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