Cited by 37Pulsars and Gravitational Waves ResearchBlack Holes and Theoretical PhysicsAstrophysical Phenomena and Observations

Black hole binaries and light fields: Gravitational molecules

Open access
Ikeda, Taishi, Bernard, Laura, Cardoso, Vitor, Zilhão, Miguel·2021·Physical Review D

Abstract

We show that light scalars can form quasibound states around binaries. In the nonrelativistic regime, these states are formally described by the quantum-mechanical Schr\"odinger equation for a one-electron heteronuclear diatomic molecule. We performed extensive numerical simulations of scalar fields around black hole binaries, showing that a scalar structure condenses around the binary---we dub these states ``gravitational molecules.'' We further show that these are well described by the perturbative, nonrelativistic description.

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1103/physrevd.103.024020

Cites

Statistics

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

  • Gravitational atoms and molecules are clouds of scalar fields or massive vector fields surrounding a black hole or a black hole binary.

    “Closely related to Bose stars are gravitational atoms and molecules, which are clouds of scalar fields or massive vector fields surrounding a black hole, or a black hole binary [44, 45].”

    From Gravitational memory and compact extra dimensions (2022) · cites this paper as [45]

    The Introduction (p. 1) describes gravitational atoms as long-lived massive-scalar states around single black holes, and the opening summary (p. 1) calls scalar structures around black-hole binaries gravitational molecules. These passages support the scalar-field portion of the claim, but the paper does not establish the massive-vector-field portion. (LLM, conf=0.87)

    Experimental — accuracy not yet measured

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Cites

No references could be resolved yet.

Research works printed but not linked: 32

  1. [20]B. Nickel, Journal of Physics A: Mathematical and Theoretical 44 , 395301 (2011). http://dx.doi.org/10.1088/1751-8113/44/39/395301 · DOI
  2. [21]E. W. Leaver, Journal of Mathematical Physics 27 , 1238 (1986).
  3. [22]E. Berti, V. Cardoso, and M. Casals, Phys. Rev. D73 , 024013 (2006), [Erratum: Phys. Rev.D73,109902(2006)], arXiv:gr-qc/0511111 [gr-qc]. · arXiv
  4. [23]D. Bates and R. Reid, Electronic Eigenenergies of the Hydrogen Molecular Ion , edited by D. Bates and I. Estermann, Advances in Atomic and Molecular Physics, Vol. 4 (Academic Press, 1968) pp. 13 - 35.
  5. [24]H. Bethe, Handbuch der Physik , edited by S. Flugge, Vol. 24 (Springer, 1933) p. 527.
  6. [25]D. Abramov and S. Slavyanov, Journal of Physics B: Atomic and Molecular Physics 11 , 2229 (2001). http://dx.doi.org/10.1088/0022-3700/11/13/007 · DOI
  7. [27]V. Cardoso, A. S. Miranda, E. Berti, H. Witek, and V. T. Zanchin, Phys. Rev. D79 , 064016 (2009), arXiv:0812.1806 [hep-th]. · arXiv
  8. [28]S. Weinberg, Lectures on Quantum Mechanics , 2nd ed. (Cambridge University Press, 2015).
  9. [29]B. C. Mundim, H. Nakano, N. Yunes, M. Campanelli, S. C. Noble, and Y. Zlochower, Phys. Rev. D89 , 084008 (2014), arXiv:1312.6731 [gr-qc]. · arXiv
  10. [30]N. K. Johnson-McDaniel, N. Yunes, W. Tichy, and B. J. Owen, Physical Review D 80 (2009), 10.1103/physrevd.80.124039. · DOI
  11. [31]F. L¨ offler, J. Faber, E. Bentivegna, T. Bode, P. Diener, R. Haas, I. Hinder, B. C. Mundim, C. D. Ott, E. Schnet- ter, G. Allen, M. Campanelli, and P. Laguna, Class. Quantum Grav. 29 , 115001 (2012), arXiv:1111.3344 [grqc]. · arXiv
  12. [32]M. Zilh˜ ao and F. L¨ offler, Proceedings, Spring School on Numerical Relativity and High Energy Physics (NR/HEP2): Lisbon, Portugal, March 11-14, 2013 , Int. J. Mod. Phys. A28 , 1340014 (2013), arXiv:1305.5299 [grqc]. · arXiv
  13. [34]E. Schnetter, S. H. Hawley, and I. Hawke, Class. Quant. Grav. 21 , 1465 (2004), arXiv:gr-qc/0310042 [gr-qc]. · arXiv
  14. [36]D. Pollney, C. Reisswig, E. Schnetter, N. Dorband, and P. Diener, Physical Review D 83 (2011), 10.1103/physrevd.83.044045. · DOI
  15. [38]P. V. P. Cunha, J. A. Font, C. Herdeiro, E. Radu, N. Sanchis-Gual, and M. Zilh˜ ao, Phys. Rev. D96 , 104040 (2017), arXiv:1709.06118 [gr-qc]. · arXiv
  16. [39]T. Assumpcao, V. Cardoso, A. Ishibashi, M. Richartz, and M. Zilhao, Phys. Rev. D98 , 064036 (2018), arXiv:1806.07909 [gr-qc]. · arXiv
  17. [40]S. Hod and T. Piran, Phys. Rev. D 58 , 044018 (1998), arXiv:gr-qc/9801059. · arXiv
  18. [41]H. Koyama and A. Tomimatsu, Phys. Rev. D 64 , 044014 (2001), arXiv:gr-qc/0103086. · arXiv
  19. [42]H. Koyama and A. Tomimatsu, Phys. Rev. D 65 , 084031 (2002), arXiv:gr-qc/0112075. · arXiv
  20. [43]H. Witek, V. Cardoso, A. Ishibashi, and U. Sperhake, Phys. Rev. D87 , 043513 (2013), arXiv:1212.0551 [gr-qc]. · arXiv
  21. [44]V. H. Robles and T. Matos, Mon. Not. Roy. Astron. Soc. 422 , 282 (2012), arXiv:1201.3032 [astro-ph.CO]. · arXiv
  22. [45]L. Hui, J. P. Ostriker, S. Tremaine, and E. Witten, Phys. Rev. D95 , 043541 (2017), arXiv:1610.08297 [astroph.CO]. · arXiv
  23. [46]L. Annulli, V. Cardoso, and R. Vicente, Phys. Lett. B 811 , 135944 (2020), arXiv:2007.03700 [astro-ph.HE]. · arXiv
  24. [47]L. Annulli, V. Cardoso, and R. Vicente, Phys. Rev. D 102 , 063022 (2020), arXiv:2009.00012 [gr-qc]. · arXiv
  25. [48]P. Peters, Phys. Rev. 136 , B1224 (1964). http://dx.doi.org/10.1103/PhysRev.136.B1224 · DOI
  26. [49]V. Cardoso and C. F. Macedo, Mon. Not. Roy. Astron. Soc. 498 , 1963 (2020), arXiv:2008.01091 [astro-ph.HE]. · arXiv
  27. [50]R. Feynman, Phys. Rev. 56 , 340 (1939). http://dx.doi.org/10.1103/PhysRev.56.340 · DOI
  28. [51]K. Clough, P. G. Ferreira, and M. Lagos, Phys. Rev. D 100 , 063014 (2019), arXiv:1904.12783 [gr-qc]. · arXiv
  29. [52]V. Cardoso, F. Duque, and T. Ikeda, Phys. Rev. D 101 , 064054 (2020), arXiv:2001.01729 [gr-qc]. · arXiv
  30. [53]K. Nakashi and T. Igata, Phys. Rev. D 99 , 124033 (2019), arXiv:1903.10121 [gr-qc]. · arXiv
  31. [54]K. Nakashi and T. Igata, Phys. Rev. D 100 , 104006 (2019), arXiv:1908.10075 [gr-qc]. · arXiv
  32. [55]L. K. Wong, Phys. Rev. D 100 , 044051 (2019), arXiv:1905.08543 [hep-th]. · arXiv

Cited by

Sorted by citations

Authors
Ikeda, T., Bernard, L., Cardoso, V., & Zilhão, M.
Affiliations
  • University of Lisbon (PT)
  • Centre National de la Recherche Scientifique (FR)
Venue
Physical Review D
Published
2021-01-12
Volume
103
Issue
2
Pages
024020
ISSN
  • 2470-0010 (ISSN-L)
  • 2470-0029
OpenAlex
W3089365061
Cited by
37
References
0
Citations by year
2026: 8 · 2025: 4 · 2024: 5 · 2023: 4 · 2022: 9 · 2021: 7
FWCI
3.23
Type
journal article
Language
en
Open access
Locations
  • Physical review. D/Physical review. D. (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • HAL (submittedVersion, other-oa)
  • arXiv (Cornell University)
Funders
  • H2020 European Research Council (MaGRaTh–646597, DarkGRA–757480)
  • Fundação para a Ciência e a Tecnologia (IF/00729/2015, PTDC/MAT-APL/30043/2017)
  • H2020 Marie Skłodowska-Curie Actions (690904)
  • European Cooperation in Science and Technology (CA16104)
  • Instituto Superior Técnico
  • Yukawa Institute for Theoretical Physics, Kyoto University
  • Agence Nationale de la Recherche
Topics
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Pulsars and Gravitational Waves Research
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Astrophysical Phenomena and Observations
Keywords
binary black holes, light scalar fields, quasi-bound states, scalar field condensation, non-relativistic approximation, scalar perturbations

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review