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Detectability of gravitational-wave memory with LISA: A Bayesian approach
Phys. Rev. D 113, 104034 – Published 13 May, 2026
DOI: https://doi.org/10.1103/b9ld-dqq4
Abstract
Gravitational wave (GW) astronomy opens a new venue to explore the universe. Future observatories such as LISA, the Laser Interferometer Space Antenna, are expected to observe previously undetectable fundamental physics effects in signals predicted by general relativity (GR). One particularly interesting such signal is associated to the displacement memory effect, which corresponds to a permanent deformation of spacetime due to the passage of gravitational radiation. In this work, we explore the ability of LISA to observe and characterize this effect. In order to do this, we use state-of-the-art simulations of the LISA instrument, and we perform a Bayesian analysis to assess the detectability and establish general conditions to claim detection of the displacement memory effect from individual massive black hole binary merger events in LISA. We perform parameter estimation both to explore the impact of the displacement memory effect and to reconstruct its amplitude. We discuss the precision at which such a reconstruction can be obtained thus opening the way to tests of GR and alternative theories. To provide astrophysical context, we apply our analysis to black hole binary population models and estimate the rates at which the displacement memory effect could be observed within the LISA planned lifetime.
Physics Subject Headings (PhySH)
See Also
Toward claiming a detection of gravitational memory
Article Text
References (90)
- A. Einstein, Sitzungsber. König. Preuss. Akad. Wiss. 688 (1916).
- A. Einstein, Sitzungsber. König. Preuss. Akad. Wiss. 154 (1918).
- J. Aasi et al. (LIGO Scientific Collaboration), Classical Quantum Gravity 32, 074001 (2015).
- F. Acernese et al. (Virgo Collaboration), Classical Quantum Gravity 32, 024001 (2015).
- T. Akutsu et al. (KAGRA Collaboration), Prog. Theor. Exp. Phys. 2021, 05A101 (2021).
- B. P. Abbott, R. Abbott, T. D. Abbott, M. R. Abernathy, F. Acernese, K. Ackley, C. Adams, T. Adams, P. Addesso, R. X. Adhikari et al., Phys. Rev. Lett. 116, 061102 (2016).
- M. Colpi, K. Danzmann, M. Hewitson, K. Holley-Bockelmann, P. Jetzer, G. Nelemans, A. Petiteau, D. Shoemaker, C. Sopuerta, R. Stebbins et al., arXiv:2402.07571.
- Y. B. Zel’dovich and A. G. Polnarev, Sov. Astron. 18, 17 (1974).
- V. B. Braginskii and L. P. Grishchuk, Zh. Eksp. Teor. Fiz. 89, 744 (1985).
- V. B. Braginsky and K. S. Thorne, Nature (London) 327, 123 (1987).
- D. Christodoulou, Phys. Rev. Lett. 67, 1486 (1991).
- K. S. Thorne, Phys. Rev. D 45, 520 (1992).
- S. Pasterski, A. Strominger, and A. Zhiboedov, J. High Energy Phys. 12 (2016) 053.
- A. Strominger and A. Zhiboedov, J. High Energy Phys. (2016) 086.
- D. A. Nichols, Phys. Rev. D 98, 064032 (2018).
- E. E. Flanagan, A. M. Grant, A. I. Harte, and D. A. Nichols, Phys. Rev. D 99, 084044 (2019).
- A. Ashtekar, T. De Lorenzo, and N. Khera, Gen. Relativ. Gravit. 52, 107 (2020).
- A. M. Grant and D. A. Nichols, Phys. Rev. D 105, 024056 (2022).
- A. M. Grant and D. A. Nichols, Phys. Rev. D 107, 064056 (2023).
- K. Mitman, M. Boyle, L. C. Stein, N. Deppe, L. E. Kidder, J. Moxon, H. P. Pfeiffer, M. A. Scheel, S. A. Teukolsky, W. Throwe et al., Classical Quantum Gravity 41, 223001 (2024).
- K. Mitman, D. A. B. Iozzo, N. Khera, M. Boyle, T. De Lorenzo, N. Deppe, L. E. Kidder, J. Moxon, H. P. Pfeiffer, M. A. Scheel et al., Phys. Rev. D 103, 024031 (2021).
- S. Bhattacharjee, S. Kumar, and A. Bhattacharyya, Phys. Rev. D 100, 084010 (2019).
- L. Bieri and A. Polnarev, Classical Quantum Gravity 41, 135012 (2024).
- J. Zosso, L. M. Zertuche, S. Gasparotto, A. Cogez, H. Inchauspé, and M. Jacobs, preceding paper, Phys. Rev. D 113, 104033 (2026).
- B. Abbott, Phys. Rev. D 93, 112004 (2016); 97, 059901(A) (2018).
- A. D. Johnson, S. J. Kapadia, A. Osborne, A. Hixon, and D. Kennefick, Phys. Rev. D 99, 044045 (2019).
- P. D. Lasky, E. Thrane, Y. Levin, J. Blackman, and Y. Chen, Phys. Rev. Lett. 117, 061102 (2016).
- S. Y. Cheung, P. D. Lasky, and E. Thrane, Classical Quantum Gravity 41, 115010 (2024).
- R. Abbott, T. D. Abbott, F. Acernese, K. Ackley, C. Adams, N. Adhikari, R. X. Adhikari et al. (LIGO Scientific, Virgo, and KAGRA Collaborations), Phys. Rev. X 13, 041039 (2023).
- M. Hübner, C. Talbot, P. D. Lasky, and E. Thrane, Phys. Rev. D 101, 023011 (2020).
- M. Hübner, P. Lasky, and E. Thrane, Phys. Rev. D 104 (2021).
- S. M. Tomson, B. Goncharov, and R. van Haasteren, arXiv:2510.04537.
- G. Agazie, Z. Arzoumanian, P. T. Baker, B. Bécsy, L. Blecha, H. Blumer, A. Brazier, P. R. Brook, S. Burke-Spolaor, R. Burnette et al., Astrophys. J. 963, 61 (2024).
- G. Agazie, A. Anumarlapudi, A. M. Archibald, Z. Arzoumanian, J. G. Baier, P. T. Baker, B. Bécsy, L. Blecha, A. Brazier, P. R. Brook et al., Astrophys. J. Lett. 978, L29 (2025).
- H. Inchauspé, S. Gasparotto, D. Blas, L. Heisenberg, J. Zosso, and S. Tiwari, Phys. Rev. D 111, 044044 (2025).
- E. Barausse, I. Dvorkin, M. Tremmel, M. Volonteri, and M. Bonetti, Astrophys. J. 904, 16 (2020).
- E. Barausse and A. Lapi, Massive Black-Hole Mergers (Springer, Singapore, 2021), p. 1–33, ISBN [Amazon][WorldCat].
- R. A. Isaacson, Phys. Rev. 166, 1263 (1968).
- R. A. Isaacson, Phys. Rev. 166, 1272 (1968).
- C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (W. H. Freeman, San Francisco, 1973), ISBN [Amazon][WorldCat], [Amazon][WorldCat].
- E. E. Flanagan and S. A. Hughes, New J. Phys. 7, 204 (2005).
- M. Maggiore, Gravitational Waves: Volume 1: Theory and Experiments (Oxford University Press, New York, 2007), ISBN [Amazon][WorldCat].
- J. Zosso, in 59th Rencontres de Moriond on Gravitation: Moriond 2025 Gravitation (2025); arXiv:2505.17603.
- A. Tolish and R. M. Wald, Phys. Rev. D 94, 044009 (2016).
- L. Bieri, D. Garfinkle, and N. Yunes, Classical Quantum Gravity 34, 215002 (2017).
- A. G. Wiseman and C. M. Will, Phys. Rev. D 44, R2945 (1991).
- M. Favata, Phys. Rev. D 80, 024002 (2009).
- C. Talbot, E. Thrane, P. D. Lasky, and F. Lin, Phys. Rev. D 98, 064031 (2018).
- J. Yoo, K. Mitman, V. Varma, M. Boyle, S. E. Field, N. Deppe, F. Hébert, L. E. Kidder, J. Moxon, H. P. Pfeiffer et al., Phys. Rev. D 108, 064027 (2023).
- S. E. Field, C. R. Galley, J. S. Hesthaven, J. Kaye, and M. Tiglio, Phys. Rev. X 4, 031006 (2014).
- V. Varma, S. E. Field, M. A. Scheel, J. Blackman, L. E. Kidder, and H. P. Pfeiffer, Phys. Rev. D 99, 064045 (2019).
- L. Pompili, A. Buonanno, H. Estellés, M. Khalil, M. Meent, D. P. Mihaylov, S. Ossokine, M. Pürrer, A. Ramos-Buades, A. K. Mehta et al., Phys. Rev. D 108, 124035 (2023).
- D. P. Mihaylov, S. Ossokine, A. Buonanno, H. Estelles, L. Pompili, M. Pürrer, and A. Ramos-Buades, arXiv:2303.18203.
- L. D. C. W. Group, LISA rosetta stone: Conventions document (lisa-ddpc-seg-tn-007) (2026).
- P. Collaboration, P. A. R. Ade, N. Aghanim, M. Arnaud, M. Ashdown, J. Aumont, C. Baccigalupi, A. J. Banday, R. B. Barreiro, J. G. Bartlett et al., Astron. Astrophys. 594, A13 (2016).
- Astropy Collaboration, T. P. Robitaille, E. J. Tollerud, P. Greenfield, M. Droettboom, E. Bray, T. Aldcroft, M. Davis, A. Ginsburg, A. M. Price-Whelan et al., Astron. Astrophys. 558, A33 (2013).
- Astropy Collaboration, A. M. Price-Whelan, B. M. Sipőcz, H. M. Günther, P. L. Lim, S. M. Crawford, S. Conseil, D. L. Shupe, M. W. Craig, N. Dencheva et al., Astron. J. 156, 123 (2018).
- Astropy Collaboration, A. M. Price-Whelan, P. L. Lim, N. Earl, N. Starkman, L. Bradley, D. L. Shupe, A. A. Patil, L. Corrales, C. E. Brasseur et al., Astrophys. J. 935, 167 (2022).
- J.-B. Bayle, Q. Baghi, A. Renzini, and M. Le Jeune, LISA GW response (2023), 10.5281/zenodo.8321733.
- M. Staab, J.-B. Bayle, and O. Hartwig, Pytdi (2023), 10.5281/zenodo.8429119.
- J.-B. Bayle, A. Hees, M. Lilley, C. Le Poncin-Lafitte, W. Martens, and E. Joffre, LISA orbits (2023), 10.5281/zenodo.7700361.
- C. Pitte, Lisax (2026) (to be published).
- D. J. A. McKechan, C. Robinson, and B. S. Sathyaprakash, Classical Quantum Gravity 27, 084020 (2010).
- L. S. S. Team, LISA science requirements document (2018), https://www.cosmos.esa.int/documents/678316/1700384/SciRD.pdf.
- J.-B. Bayle, O. Hartwig, and M. Staab, LISA instrument (2024), https://zenodo.org/records/13809621.
- J.-B. Bayle and O. Hartwig, Phys. Rev. D 107, 083019 (2023).
- E. Higson, W. Handley, M. Hobson, and A. Lasenby, Stat. Comput. 29, 891 (2019).
- S. Koposov, J. Speagle, K. Barbary, G. Ashton, E. Bennett, J. Buchner, C. Scheffler, B. Cook, C. Talbot, J. Guillochon et al., joshspeagle/dynesty: v2.1.4 (2024), https://zenodo.org/records/12537467.
- J. Skilling, 735, 395 (2004).
- J. Skilling, Bayesian Anal. 1, 833 (2006).
- J. S. Speagle, Mon. Not. R. Astron. Soc. 493, 3132 (2020).
- F. Feroz, M. P. Hobson, and M. Bridges, Mon. Not. R. Astron. Soc. 398, 1601 (2009).
- H. Jeffreys, The Theory of Probability (OUP Oxford, 1998), ISBN [Amazon][WorldCat].
- G. Ashton et al., Astrophys. J. Suppl. Ser. 241, 27 (2019).
- S. Sun, C. Shi, J.-d. Zhang, and J. Mei, Phys. Rev. D 110, 024050 (2024).
- E. Thrane and C. Talbot, Pub. Astron. Soc. Aust. 36, e010 (2019).
- S. Gasparotto, R. Vicente, D. Blas, A. C. Jenkins, and E. Barausse, Phys. Rev. D 107, 124033 (2023).
- Y. Xu, M. Rosselló-Sastre, S. Tiwari, M. Ebersold, E. Z. Hamilton, C. García-Quirós, H. Estellés, and S. Husa, Phys. Rev. D 109, 123034 (2024).
- S. Gasparotto, Ph.D. thesis, TDX, Barcelona, Autonoma U., 2025.
- M. Rosselló-Sastre, S. Husa, S. Bera, and Y. Xu, arXiv:2506.05859.
- B. Goncharov, L. Donnay, and J. Harms, Phys. Rev. Lett. 132, 241401 (2024).
- D. Garfinkle, S. Hollands, A. Ishibashi, A. Tolish, and R. M. Wald, Classical Quantum Gravity 34, 145015 (2017).
- S. Hollands, A. Ishibashi, and R. M. Wald, Classical Quantum Gravity 34, 155005 (2017).
- L. Heisenberg, N. Yunes, and J. Zosso, Phys. Rev. D 108, 024010 (2023).
- L. Heisenberg, B. Rosatello, G. Xu, and J. Zosso, arXiv:2505.09544.
- E. Barausse, K. Dey, M. Crisostomi, A. Panayada, S. Marsat, and S. Basak, Phys. Rev. D 108, 103034 (2023).
- C. Pitte, Q. Baghi, S. Marsat, M. Besançon, and A. Petiteau, Phys. Rev. D 108, 044053 (2023).
- S. Gasparotto, G. Franciolini, and V. Domcke, Phys. Rev. D 112, 103021 (2025).
- L. O. McNeill, E. Thrane, and P. D. Lasky, Phys. Rev. Lett. 118, 181103 (2017).
- A. Cogez, S. Gasparotto, J. Zosso, H. Inchauspé, C. Pitte, L. Magaña Zertuche, A. Petiteau, and M. Besancon, Memory effect detectability companion (2026), https://gitlab.in2p3.fr/adrien.cogez/memory-effect-detectability-companion.