- Open Access
Resonant locking between binary systems induced by gravitational waves
Phys. Rev. D 113, 023040 – Published 21 January, 2026
DOI: https://doi.org/10.1103/nzrc-wvvp
Abstract
The interaction of gravitational waves (GWs) with matter is thought to be typically negligible in the Universe. We identify an exception in the case of resonant interactions, where GWs emitted by a background binary system, such as an inspiraling supermassive black hole (SMBH) binary, cause a resonant response in a stellar-mass foreground binary and the frequencies of the two systems become, and remain, synchronized. We point out that this previously unexplored dynamical phenomenon is not only possible, but can lead to binary systems becoming resonantly locked in the host galaxy of merging SMBHs of mass , each of which has a significantly reduced merger time. We predict binary systems have been locked in the Universe’s history. Resonant locking could be detected through anomalous inspiral of binary systems.
Physics Subject Headings (PhySH)
Article Text
References (69)
- A. Einstein, Sitzungsberichte der Königlich Preussischen Akademie der Wissenschaften (Sitzungsber. Preuss. Akad. Wiss., Berlin1916), p. 688.
- H. Bondi, Nature (London) 179, 1072 (1957).
- H. Bondi, F. A. E. Pirani, I. Robinson, and W. H. McCrea, Proc. R. Soc. Ser. A 251, 519 (1959).
- S. W. Hawking, Astrophys. J. 145, 544 (1966).
- S. W. Hawking, J. Math. Phys. (N.Y.) 9, 598 (1968).
- F. P. Esposito, Astrophys. J. 165, 165 (1971).
- D. B. Papadopoulos, Classical Quantum Gravity 19, 2939 (2002).
- S. Weinberg, Phys. Rev. D 69, 023503 (2004).
- S. Weinberg, Phys. Rev. D 69, 023503 (2004).
- R. Flauger and S. Weinberg, Phys. Rev. D 97, 123506 (2018).
- M. J. Rees, Mon. Not. R. Astron. Soc. 154, 187 (1971).
- T. Futamase and T. Matsuda, Prog. Theor. Phys. 61, 86 (1979).
- A. Loeb, Astrophys. J. Lett. 890, L16 (2020).
- B. Kocsis and A. Loeb, Phys. Rev. Lett. 101, 041101 (2008).
- G. Li, B. Kocsis, and A. Loeb, Mon. Not. R. Astron. Soc. 425, 2407 (2012).
- Y. Kojima and H. Tanimoto, Classical Quantum Gravity 22, 2991 (2005).
- B. McKernan, K. E. S. Ford, B. Kocsis, and Z. Haiman, Mon. Not. R. Astron. Soc.: Lett. 445, L74 (2014).
- V. Boyanov, V. Cardoso, K. D. Kokkotas, and J. Redondo-Yuste, Phys. Rev. Lett. 135, 151402 (2025).
- B. Mashhoon, Astrophys. J. 223, 285 (1978).
- M. S. Turner, Astrophys. J. 233, 685 (1979).
- B. Bertotti, B. J. Carr, and M. J. Rees, Mon. Not. R. Astron. Soc. 203, 945 (1983).
- C. Chicone, B. Mashhoon, and D. G. Retzloff, J. Phys. A Math. Gen. 33, 513 (2000).
- L. Hui, S. T. McWilliams, and I. S. Yang, Phys. Rev. D 87, 084009 (2013).
- L. Iorio, Sci. Open Res. 2014, 1 (2014).
- L. Annulli, L. Bernard, D. Blas, and V. Cardoso, Phys. Rev. D 98, 084001 (2018).
- M. Rozner, E. Grishin, Y. B. Ginat, A. P. Igoshev, and V. Desjacques, J. Cosmol. Astropart. Phys. 03 (2020) 061.
- V. Desjacques, E. Grishin, and Y. B. Ginat, Astrophys. J. 901, 85 (2020).
- D. Blas and A. C. Jenkins, Phys. Rev. D 105, 064021 (2022).
- A. Kuntz, Phys. Rev. D 107, 064066 (2023).
- B. Bertotti, Sov. Astron. 14, 51 (1973), https://ui.adsabs.harvard.edu/abs/1973ApL....14...51B/abstract.
- B. Mashhoon, B. J. Carr, and B. L. Hu, Astrophys. J. 246, 569 (1981).
- M. N. Ismaiel, Open Astron. J. 4, 1 (2011).
- A. J. Anderson, Nature (London) 229, 547 (1971).
- W. H. Press and K. S. Thorne, Annu. Rev. Astron. Astrophys. 10, 335 (1972).
- F. B. Estabrook and H. D. Wahlquist, Gen. Relativ. Gravit. 6, 439 (1975).
- V. N. Rudenko, Astron. Zh. 52, 444 (1975), https://ui.adsabs.harvard.edu/abs/1975SvA....19..270R/abstract.
- K. S. Thorne and V. B. Braginskii, Astrophys. J. Lett. 204, L1 (1976).
- A. Anderson, Experimental Gravitation (Academic Press, New York, 1976), https://www.researchgate.net/publication/262379727_Detection_of_Gravitational_Waves_by_Spacecraft_Doppler_Data.
- R. W. Hellings, Phys. Rev. D 17, 3158 (1978).
- L. A. Nelson and W. Y. Chau, Astrophys. J. 254, 735 (1982).
- D. Blas and A. C. Jenkins, Phys. Rev. Lett. 128, 101103 (2022).
- J. Weber, Phys. Rev. 117, 306 (1960).
- C. Chicone, B. Mashhoon, and D. G. Retzloff, Classical Quantum Gravity 14, 699 (1997).
- C. Chicone, B. Mashhoon, and D. G. Retzloff, Classical Quantum Gravity 14, 1831 (1997).
- M. Volonteri, F. Haardt, and P. Madau, Astrophys. J. 582, 559 (2003).
- C. Misner, K. Thorne, J. Wheeler, and D. Kaiser, Gravitation (Princeton University Press, Princeton, NJ, 2017).
- R. d’Inverno and J. Vickers, Introducing Einstein’s Relativity: A Deeper Understanding (Oxford University Press, New York, 2022).
- L. Fesik, arXiv:1706.09505.
- P. C. Peters and J. Mathews, Phys. Rev. 131, 435 (1963).
- M. Maggiore, Gravitational Waves: Volume 1: Theory and Experiments, Gravitational Waves (Oxford University Press, Oxford, 2008).
- https://youtu.be/xtwmT8TNJJA.
- https://youtu.be/hWVE7h16_AU.
- J. Kormendy and L. C. Ho, Annu. Rev. Astron. Astrophys. 51, 511 (2013).
- J. Binney and S. Tremaine, Galactic Dynamics: Second Edition, Princeton Series in Astrophysics (Princeton University Press, Princeton, NJ, 2011).
- M. L. Lidov, Planet. Space Sci. 9, 719 (1962).
- Y. Kozai, Astron. J. 67, 591 (1962).
- S. Naoz, Annu. Rev. Astron. Astrophys. 54, 441 (2016).
- P. Kroupa, Science 295, 82 (2002).
- S. Gao, C. Liu, X. Zhang, S. Justham, L. Deng, and M. Yang, Astrophys. J. 788, L37 (2014).
- H. M. J. Boffin and D. Jones, Contrib. Astron. Obs. Skalnate Pleso 55, 21 (2025).
- V. A. Brumberg, Essential Relativistic Celestial Mechanics (CRC Press, Boca Raton, FL, 1991).
- J. Danby, Fundamentals of Celestial Mechanics (MacMillan, London, 1962).
- B. Bertotti, P. Farinella, and D. Vokrouhlicky, Physics of the Solar System: Dynamics and Evolution, Space Physics, and Spacetime Structure, Astrophysics and Space Science Library (Springer, Netherlands, 2012).
- L. E. Kidder, Phys. Rev. D 52, 821 (1995).
- R. A. Mardling and D. N. C. Lin, Astrophys. J. 573, 829 (2002).
- L. Hernquist, Astrophys. J. 356, 359 (1990).
- D. S. H. Hon, A. W. Graham, and N. Sahu, Mon. Not. R. Astron. Soc. 519, 4651 (2022).
- E. Öpik, Publ. Tartu Astrofizica Observatory 25, 1 (1924).
- C. J. Conselice, A. Wilkinson, K. Duncan, and A. Mortlock, Astrophys. J. 830, 83 (2016).