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Gravitational Scattering of Solitonic Boson Stars: Analytics vs Numerics
Phys. Rev. Lett. 137, 021401 – Published 6 July, 2026
DOI: https://doi.org/10.1103/24g1-k5p2
Abstract
We study the scattering of two boson stars by comparing four sequences (at fixed energy and varying impact parameter) of numerical relativity simulations to an effective-one-body analytic description, taking into account both gravitational effects (point-mass and tidal) and short-range scalar-field interactions. We obtain excellent agreement between analytical and numerical results, exhibiting the importance of short-range scalar-field interactions for small impact parameters. Our Letter paves the way toward analytic waveform templates of exotic compact object binaries.
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References (56)
- B. P. Abbott et al. (LIGO Scientific and Virgo Collaborations), Phys. Rev. Lett. 116, 061102 (2016).
- R. Abbott et al. (KAGRA, Virgo, and LIGO Scientific Collaborations), Phys. Rev. X 13, 041039 (2023).
- A. G. Abac et al. (LIGO Scientific, Virgo, and KAGRA Collaborations), Astrophys. J. Lett. 995, L18 (2025).
- A. G. Abac et al. (LIGO Scientific, Virgo, and KAGRA Collaborations), arXiv:2508.18081.
- A. G. Abac et al. (LIGO Scientific, Virgo, and KAGRA Collaborations), arXiv:2508.18082.
- R. Abbott et al. (LIGO Scientific and Virgo Collaborations), Phys. Rev. D 103, 122002 (2021).
- R. Abbott et al. (LIGO Scientific, Virgo, and KAGRA Collaborations), Phys. Rev. D 112, 084080 (2025).
- A. G. Abac et al. (LIGO Scientific, Virgo, and KAGRA Collaborations), Phys. Rev. Lett. 135, 111403 (2025).
- B. P. Abbott et al. (LIGO Scientific and Virgo Collaborations), Phys. Rev. Lett. 119, 161101 (2017).
- A. G. Abac et al. (LIGO Scientific, Virgo, and KAGRA Collaborations), Astrophys. J. Lett. 993, L25 (2025).
- J. C. Aurrekoetxea, C. Hoy, and M. Hannam, Phys. Rev. Lett. 132, 181401 (2024).
- J. Calderón Bustillo, N. Sanchis-Gual, A. Torres-Forné, J. A. Font, A. Vajpeyi, R. Smith, C. Herdeiro, E. Radu, and S. H. W. Leong, Phys. Rev. Lett. 126, 081101 (2021).
- S. Clesse and J. Garcia-Bellido, Phys. Dark Universe 38, 101111 (2022).
- T. Evstafyeva, U. Sperhake, I. Romero-Shaw, and M. Agathos, Phys. Rev. Lett. 133, 131401 (2024).
- S. L. Liebling and C. Palenzuela, Living Rev. Relativity 26, 1 (2023).
- H. Kim, J. Park, and M. Son, J. High Energy Phys. 07 (2024) 150.
- T. Vachaspati and A. Vilenkin, Phys. Rev. Lett. 67, 1057 (1991).
- D. Inman and Y. Ali-Haïmoud, Phys. Rev. D 100, 083528 (2019).
- P. V. P. Cunha, C. Herdeiro, E. Radu, and N. Sanchis-Gual, Phys. Rev. Lett. 130, 061401 (2023).
- N. Siemonsen, Phys. Rev. Lett. 133, 031401 (2024).
- G. A. Marks, S. J. Staelens, T. Evstafyeva, and U. Sperhake, Phys. Rev. Lett. 135, 131402 (2025).
- T. Evstafyeva, N. Siemonsen, and W. E. East, Phys. Rev. D 113, 044024 (2026).
- M. W. Choptuik and F. Pretorius, Phys. Rev. Lett. 104, 111101 (2010).
- A. Gonzalez, S. Bernuzzi, A. Rashti, F. Brandoli, and R. Gamba, arXiv:2507.00113.
- C. Palenzuela, P. Pani, M. Bezares, V. Cardoso, L. Lehner, and S. Liebling, Phys. Rev. D 96, 104058 (2017).
- R. Brito, V. Cardoso, C. A. R. Herdeiro, and E. Radu, Phys. Lett. B 752, 291 (2016).
- M. Alcubierre, J. Barranco, A. Bernal, J. C. Degollado, A. Diez-Tejedor, M. Megevand, D. Nunez, and O. Sarbach, Classical Quantum Gravity 35, 19LT01 (2018).
- D. J. Kaup, Phys. Rev. 172, 1331 (1968).
- R. Ruffini and S. Bonazzola, Phys. Rev. 187, 1767 (1969).
- L. Visinelli, Int. J. Mod. Phys. D 30, 2130006 (2021).
- A. Buonanno and T. Damour, Phys. Rev. D 59, 084006 (1999).
- S. Carloni and J. a. L. Rosa, Phys. Rev. D 100, 025014 (2019).
- U. Sperhake, Phys. Rev. D 76, 104015 (2007).
- G. Allen, T. Goodale, J. Massó, and E. Seidel, The cactus computational toolkit and using distributed computing to collide neutron stars, in Presented at the Eighth IEEE International Symposium on High Performance Distributed Computing (HPDC-8), Redondo Beach, California (IEEE Press, Piscataway, New Jersey, 1999).
- D. Alic, C. Bona-Casas, C. Bona, L. Rezzolla, and C. Palenzuela, Phys. Rev. D 85, 064040 (2012).
- E. Schnetter, S. H. Hawley, and I. Hawke, Classical Quantum Gravity 21, 1465 (2004).
- T. Helfer, U. Sperhake, R. Croft, M. Radia, B.-X. Ge, and E. A. Lim, Classical Quantum Gravity 39, 074001 (2022).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/24g1-k5p2, which includes Ref. [39].
- T. Damour and N. Deruelle, Ann. Inst. Henri Poincaré A 44, 263 (1986).
- E. Gourgoulhon, arXiv:gr-qc/0703035.
- T. Damour, F. Guercilena, I. Hinder, S. Hopper, A. Nagar, and L. Rezzolla, Phys. Rev. D 89, 081503 (2014).
- S. Hopper, A. Nagar, and P. Rettegno, Phys. Rev. D 107, 124034 (2023).
- T. Damour and P. Rettegno, Phys. Rev. D 107, 064051 (2023).
- P. Rettegno, G. Pratten, L. M. Thomas, P. Schmidt, and T. Damour, Phys. Rev. D 108, 124016 (2023).
- S. Swain, G. Pratten, and P. Schmidt, Phys. Rev. D 111, 064048 (2025).
- A. Buonanno, G. U. Jakobsen, and G. Mogull, Phys. Rev. D 110, 044038 (2024).
- O. Long, H. P. Pfeiffer, A. Buonanno, G. U. Jakobsen, G. Mogull, A. Ramos-Buades, H. R. Rüter, L. E. Kidder, and M. A. Scheel, Phys. Rev. D 112, 124039 (2025).
- T. Damour, Phys. Rev. D 97, 044038 (2018).
- G. Kälin, Z. Liu, and R. A. Porto, Phys. Rev. D 102, 124025 (2020).
However, the overall recoil has to be included separately [51].
- D. Bini, T. Damour, and A. Geralico, Phys. Rev. D 104, 084031 (2021).
- D. Bini, T. Damour, and A. Geralico, Phys. Rev. D 101, 044039 (2020).
- C. Cheung and M. P. Solon, Phys. Rev. Lett. 125, 191601 (2020).
- C. Palenzuela, I. Olabarrieta, L. Lehner, and S. L. Liebling, Phys. Rev. D 75, 064005 (2007).
- R. F. Diedrichs, D. Schmitt, and L. Sagunski, Phys. Rev. D 110, 104073 (2024).
- N. Sennett, T. Hinderer, J. Steinhoff, A. Buonanno, and S. Ossokine, Phys. Rev. D 96, 024002 (2017).