pith. machine review for the scientific record. sign in

arxiv: 2510.17967 · v2 · pith:SQI5OBDNnew · submitted 2025-10-20 · 🌀 gr-qc · astro-ph.CO· astro-ph.HE· hep-ph

Scalar fields around black hole binaries in LIGO-Virgo-KAGRA

Pith reviewed 2026-05-18 05:44 UTC · model grok-4.3

classification 🌀 gr-qc astro-ph.COastro-ph.HEhep-ph
keywords scalar fieldsblack hole binariesgravitational wavesLIGO-Virgo-KAGRAsuperradianceBayesian analysiswaveform modelingdark matter
0
0 comments X

The pith

A semi-analytic model of gravitational waves from black hole binaries in scalar environments yields upper limits and tentative evidence for a light scalar in LIGO data.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper develops a semi-analytic waveform model for black hole binaries surrounded by scalar fields and validates it against numerical relativity simulations. The model is applied in a Bayesian analysis of events from the LIGO-Virgo-KAGRA catalog to place upper limits on scalar densities around most binaries. For GW190728 and GW190814 the pure vacuum case falls outside the 95 percent credible region. When superradiance priors are included the analysis finds a Bayes factor of about 3.5 favoring a scalar environment for GW190728, consistent with a scalar mass near 10 to the minus 12 electron volts. A sympathetic reader would care because this provides a new way to search for light scalar particles that might constitute dark matter using existing gravitational wave observations.

Core claim

We develop a semi-analytic waveform model for binaries in scalar environments, validate it against numerical relativity simulations, and apply it in a Bayesian analysis of the LIGO-Virgo-KAGRA catalog. We obtain physically meaningful upper limits on scalar densities around most compact binaries. For GW190728 and GW190814, vacuum lies outside the 95% credible region. When including superradiance priors, GW190728 shows tentative evidence for a scalar environment with a Bayes factor of ln B^env_vac ≈ 3.5, consistent with a light scalar of mass ∼10^{-12} eV.

What carries the argument

Semi-analytic waveform model that incorporates the dynamical effects of scalar clouds on binary inspiral and gravitational wave emission

If this is right

  • Upper limits on scalar densities can be obtained for most observed compact binaries.
  • The vacuum hypothesis is excluded at 95 percent credibility for GW190728 and GW190814.
  • Superradiance priors raise the Bayes factor to approximately 3.5 in favor of a scalar environment for GW190728.
  • The results are consistent with a light scalar particle of mass around 10^{-12} eV.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Confirmation with additional events would support ultralight scalars as viable dark matter candidates.
  • The approach could be extended to search for other environmental effects such as gas or dark matter distributions around binaries.
  • Higher-precision numerical simulations that include scalar backreaction would test the model's accuracy near merger.

Load-bearing premise

The semi-analytic waveform model remains accurate throughout the inspiral when scalar clouds are present around the black holes.

What would settle it

A full numerical relativity simulation of a black hole binary with an attached scalar cloud that deviates markedly from the semi-analytic waveform predictions in the late inspiral would falsify the model's applicability to the data.

Figures

Figures reproduced from arXiv: 2510.17967 by Josu C. Aurrekoetxea, Katy Clough, Pedro G. Ferreira, Rodrigo Vicente, Soumen Roy.

Figure 1
Figure 1. Figure 1: FIG. 1 [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Marginalized posterior distributions from the analyses [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Posteriors on scalar field density [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: shows another example. Here, we inject the waveform of an NR simulation with the same parame￾ters as the one in [PITH_FULL_IMAGE:figures/full_fig_p012_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. Half-violin plots of the scalar-field density posteriors for selected GWTC-3 events. The black dashed line marks the 90% [PITH_FULL_IMAGE:figures/full_fig_p013_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. Posterior versus prior distributions of the scalar field [PITH_FULL_IMAGE:figures/full_fig_p014_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7. Posteriors of the particle mass [PITH_FULL_IMAGE:figures/full_fig_p014_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: FIG. 8. Marginalized posterior distributions of GW190728 [PITH_FULL_IMAGE:figures/full_fig_p015_8.png] view at source ↗
read the original abstract

Light scalar particles arise naturally in many extensions of the Standard Model and are compelling dark-matter candidates. Gravitational interactions near black holes can trigger the growth of dense scalar configurations that, if sustained during inspiral, alter binary dynamics and imprint signatures on gravitational-wave signals. Detecting such effects would provide a novel probe of fundamental physics and dark matter. Here we develop a semi-analytic waveform model for binaries in scalar environments, validate it against numerical relativity simulations, and apply it in a Bayesian analysis of the LIGO-Virgo-KAGRA catalog. We obtain physically meaningful upper limits on scalar densities around most compact binaries. For GW190728 and GW190814, vacuum lies outside the $95\%$ credible region. When including superradiance priors, GW190728 shows tentative evidence for a scalar environment with a Bayes factor of $\ln \mathrm{B}^{\rm env}_{\rm vac} \approx 3.5$, consistent with a light scalar of mass $\sim10^{-12}\,\mathrm{eV}$.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 1 minor

Summary. The manuscript develops a semi-analytic waveform model for black hole binaries immersed in scalar-field environments, validates the model against numerical relativity simulations, and applies it in a Bayesian analysis of the LIGO-Virgo-KAGRA catalog. It reports physically meaningful upper limits on scalar densities for most events and identifies tentative evidence for a scalar environment in GW190728, with ln B^env_vac ≈ 3.5 when superradiance priors are included, consistent with a light scalar mass of ∼10^{-12} eV.

Significance. If the central results hold, the work provides a new observational channel for constraining or detecting light scalars as dark-matter candidates using existing gravitational-wave data, with the reported Bayes factor and mass scale offering a concrete, falsifiable target for future analyses.

major comments (2)
  1. [Abstract] Abstract: validation against numerical relativity is asserted, yet no quantitative metrics (phase mismatch, overlap integrals, or error budgets) are supplied for the light-scalar regime (∼10^{-12} eV) or the late-inspiral densities recovered for GW190728. This directly affects the reliability of the ln B^env_vac ≈ 3.5 claim.
  2. [Application to catalog events] Application section (presumably §5): the central claim that GW190728 shows tentative evidence for a scalar environment rests on the assumption that the semi-analytic model accurately reproduces scalar-cloud-induced dephasing throughout the LIGO band. No explicit tests of back-reaction, higher-order gradients, or late-inspiral accuracy in the relevant posterior region are presented, leaving open the possibility that model systematics drive the Bayes factor.
minor comments (1)
  1. [Abstract] The abstract refers to upper limits for 'most compact binaries' without stating the total number of events analyzed or the precise catalog release used.

Simulated Author's Rebuttal

2 responses · 1 unresolved

We thank the referee for their careful and constructive review. The comments have prompted us to strengthen the quantitative validation and model-assumption discussion. We address each major comment below and have revised the manuscript accordingly.

read point-by-point responses
  1. Referee: [Abstract] Abstract: validation against numerical relativity is asserted, yet no quantitative metrics (phase mismatch, overlap integrals, or error budgets) are supplied for the light-scalar regime (∼10^{-12} eV) or the late-inspiral densities recovered for GW190728. This directly affects the reliability of the ln B^env_vac ≈ 3.5 claim.

    Authors: We agree that explicit quantitative metrics improve transparency. Although Section 3 already contains waveform comparisons, we have now added phase-mismatch values, overlap integrals, and error budgets specifically for the ∼10^{-12} eV scalar-mass range and for the scalar densities recovered in the GW190728 posterior. These metrics are summarized in a new table and referenced in the revised abstract, directly supporting the reliability of the reported Bayes factor. revision: yes

  2. Referee: [Application to catalog events] Application section (presumably §5): the central claim that GW190728 shows tentative evidence for a scalar environment rests on the assumption that the semi-analytic model accurately reproduces scalar-cloud-induced dephasing throughout the LIGO band. No explicit tests of back-reaction, higher-order gradients, or late-inspiral accuracy in the relevant posterior region are presented, leaving open the possibility that model systematics drive the Bayes factor.

    Authors: We share the concern that model systematics must be quantified. Section 2 derives the leading-order dephasing under the stated approximations and justifies the neglect of back-reaction for the low densities considered. In the revision we have added a new subsection in §5 together with Appendix C that presents explicit checks of back-reaction, higher-order gradient contributions, and late-inspiral accuracy evaluated at posterior samples for GW190728. These tests indicate that the neglected terms remain sub-dominant across the LIGO band for the recovered densities, thereby reducing the likelihood that systematics alone produce the observed Bayes factor. revision: partial

standing simulated objections not resolved
  • Full end-to-end numerical-relativity simulations that exactly sample the GW190728 posterior region for direct late-inspiral validation remain computationally prohibitive.

Circularity Check

0 steps flagged

No circularity: results from direct data comparison after independent model validation

full rationale

The paper develops a semi-analytic waveform model, validates it against NR simulations, then applies it in Bayesian inference on LIGO-Virgo-KAGRA catalog events to obtain upper limits and Bayes factors. The ln B^env_vac ≈ 3.5 for GW190728 and the ~10^{-12} eV mass inference arise from direct model-to-data comparison with no equations reducing outputs to fitted inputs by construction, no self-definitional loops, and no load-bearing self-citations or ansatzes imported from prior author work. The derivation chain remains self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central results rest on the assumption that scalar clouds persist through the binary inspiral and that the semi-analytic approximation captures their gravitational-wave imprint; no free parameters or new entities are explicitly introduced in the abstract.

axioms (1)
  • domain assumption Scalar field configurations around black holes remain sustained and affect binary dynamics throughout the inspiral phase.
    Required for the waveform model to produce observable deviations from vacuum templates.

pith-pipeline@v0.9.0 · 5729 in / 1215 out tokens · 31056 ms · 2026-05-18T05:44:22.279003+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Lean theorems connected to this paper

Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

What do these tags mean?
matches
The paper's claim is directly supported by a theorem in the formal canon.
supports
The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
extends
The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
uses
The paper appears to rely on the theorem as machinery.
contradicts
The paper's claim conflicts with a theorem or certificate in the canon.
unclear
Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Extracting Properties of Dark Dense Environments around Black Holes from Gravitational Waves

    gr-qc 2025-10 unverdicted novelty 6.0

    A novel quantity derived from GW signals encodes the density profile of dark dense environments around black holes, allowing characterization of the condensate type and DM properties via multi-wavelength observations.

  2. Boson Stars Hosting Black Holes

    gr-qc 2025-11 unverdicted novelty 5.0

    Numerical and analytic modeling of boson star-black hole systems in the nonrelativistic limit, with Fisher analysis indicating LISA sensitivity to ultralight dark matter mass and self-coupling via gravitational wave d...

Reference graph

Works this paper leans on

150 extracted references · 150 canonical work pages · cited by 2 Pith papers · 49 internal anchors

  1. [1]

    E.Barausse, V.Cardoso,andP.Pani,Canenvironmental effects spoil precision gravitational-wave astrophysics?, Phys. Rev. D89, 104059 (2014), arXiv:1404.7149 [gr-qc]

  2. [2]

    Tamanini, A

    N. Tamanini, A. Klein, C. Bonvin, E. Barausse, and C. Caprini, Peculiar acceleration of stellar-origin black hole binaries: Measurement and biases with LISA, Phys. Rev. D101, 063002 (2020), arXiv:1907.02018 [astro- ph.IM]

  3. [3]

    Cardoso and A

    V. Cardoso and A. Maselli, Constraints on the as- trophysical environment of binaries with gravitational- wave observations, Astron. Astrophys.644, A147 (2020), arXiv:1909.05870 [astro-ph.HE]

  4. [4]

    Caneva Santoro, S

    G. Caneva Santoro, S. Roy, R. Vicente, M. Haney, O. J. Piccinni, W. Del Pozzo, and M. Martinez, First Constraints on Compact Binary Environments from LIGO-Virgo Data, Phys. Rev. Lett.132, 251401 (2024), arXiv:2309.05061 [gr-qc]

  5. [5]

    Zwick, J

    L. Zwick, J. Takátsy, P. Saini, K. Hendriks, J. Sam- sing, C. Tiede, C. Rowan, and A. A. Trani, Envi- ronmental effects in stellar mass gravitational wave sources I: Expected fraction of signals with significant dephasing in the dynamical and AGN channels, arXiv e-prints , arXiv:2503.24084 (2025), arXiv:2503.24084 [astro-ph.HE]

  6. [6]

    Toubianaet al., Detectable environmental effects in GW190521-like black-hole binaries with LISA, Phys

    A. Toubianaet al., Detectable environmental effects in GW190521-like black-hole binaries with LISA, Phys. Rev. Lett.126, 101105 (2021), arXiv:2010.06056 [astro- ph.HE]

  7. [7]

    Derdzinski, D

    A. Derdzinski, D. D’Orazio, P. Duffell, Z. Haiman, and A. MacFadyen, Evolution of gas disc–embedded interme- diate mass ratio inspirals in theLISA band, Mon. Not. Roy. Astron. Soc.501, 3540 (2021), arXiv:2005.11333 [astro-ph.HE]

  8. [8]

    Zwick, A

    L. Zwick, A. Derdzinski, M. Garg, P. R. Capelo, and L. Mayer, Dirty waveforms: multiband harmonic content of gas-embedded gravitational wave sources, Mon. Not. Roy. Astron. Soc.511, 6143 (2022), arXiv:2110.09097 [astro-ph.HE]

  9. [9]

    Sbernaet al., Observing GW190521-like binary black holes and their environment with LISA, Phys

    L. Sbernaet al., Observing GW190521-like binary black holes and their environment with LISA, Phys. Rev. D 106, 064056 (2022), arXiv:2205.08550 [gr-qc]

  10. [10]

    Vijaykumar, A

    A. Vijaykumar, A. Tiwari, S. J. Kapadia, K. G. Arun, and P. Ajith, Waltzing Binaries: Probing the Line-of- sight Acceleration of Merging Compact Objects with Gravitational Waves, Astrophys. J.954, 105 (2023), arXiv:2302.09651 [astro-ph.HE]

  11. [11]

    Roy and R

    S. Roy and R. Vicente, Compact binary coalescences in dense gaseous environments can pose as ones in vacuum, Phys. Rev. D111, 084037 (2025), arXiv:2410.16388 [gr- qc]

  12. [12]

    Dutta Roy, P

    P. Dutta Roy, P. Mahapatra, A. Samajdar, and K. G. Arun, Identifying intermediate mass binary black hole mergers in AGN disks using LISA, Phys. Rev. D111, 104047 (2025), arXiv:2503.11721 [astro-ph.HE]

  13. [13]

    Duque, L

    F. Duque, L. Sberna, A. Spiers, and R. Vicente, Extreme- mass-ratio inspirals in relativistic accretion discs, arXiv e-prints , arXiv:2510.02433 (2025), arXiv:2510.02433 [gr- qc]

  14. [14]

    Black holes, gravitational waves and fundamental physics: a roadmap

    L. Baracket al., Black holes, gravitational waves and fundamental physics: a roadmap, Class. Quant. Grav. 36, 143001 (2019), arXiv:1806.05195 [gr-qc]

  15. [15]

    Bertoneet al., Gravitational wave probes of dark matter: challenges and opportunities, SciPost Phys

    G. Bertoneet al., Gravitational wave probes of dark matter: challenges and opportunities, SciPost Phys. Core 3, 007 (2020), arXiv:1907.10610 [astro-ph.CO]

  16. [16]

    Annulli, V

    L. Annulli, V. Cardoso, and R. Vicente, Response of ultralight dark matter to supermassive black holes and binaries, Phys. Rev. D102, 063022 (2020), arXiv:2009.00012 [gr-qc]

  17. [17]

    B. J. Kavanagh, D. A. Nichols, G. Bertone, and D. Gag- gero, Detecting dark matter around black holes with gravitational waves: Effects of dark-matter dynamics on the gravitational waveform, Phys. Rev. D102, 083006 (2020), arXiv:2002.12811 [gr-qc]

  18. [18]

    Maselli, N

    A. Maselli, N. Franchini, L. Gualtieri, T. P. Sotiriou, S. Barsanti, and P. Pani, Detecting fundamental fields with LISA observations of gravitational waves from ex- treme mass-ratio inspirals, Nature Astron.6, 464 (2022), arXiv:2106.11325 [gr-qc]

  19. [19]

    Coogan, G

    A. Coogan, G. Bertone, D. Gaggero, B. J. Kavanagh, and D. A. Nichols, Measuring the dark matter environments of black hole binaries with gravitational waves, Phys. Rev. D105, 043009 (2022), arXiv:2108.04154 [gr-qc]

  20. [20]

    Vicente and V

    R. Vicente and V. Cardoso, Dynamical friction of black holes in ultralight dark matter, Phys. Rev. D105, 083008 (2022), arXiv:2201.08854 [gr-qc]

  21. [21]

    Traykova, R

    D. Traykova, R. Vicente, K. Clough, T. Helfer, E. Berti, P. G. Ferreira, and L. Hui, Relativistic drag forces on black holes from scalar dark matter clouds of all sizes, Phys. Rev. D108, L121502 (2023), arXiv:2305.10492 [gr-qc]

  22. [22]

    Cardoso, K

    V. Cardoso, K. Destounis, F. Duque, R. P. Macedo, and A. Maselli, Black holes in galaxies: Environmental im- pact on gravitational-wave generation and propagation, Phys. Rev. D105, L061501 (2022), arXiv:2109.00005 [gr-qc]

  23. [23]

    Cardoso, K

    V. Cardoso, K. Destounis, F. Duque, R. Panosso Macedo, and A. Maselli, Gravitational Waves from Extreme-Mass- RatioSystemsinAstrophysicalEnvironments,Phys.Rev. Lett.129, 241103 (2022), arXiv:2210.01133 [gr-qc]

  24. [24]

    T. F. M. Spieksma, V. Cardoso, G. Carullo, M. Della Rocca, and F. Duque, Black Hole Spectroscopy in Environments: Detectability Prospects, Phys. Rev. Lett.134, 081402 (2025), arXiv:2409.05950 [gr-qc]

  25. [25]

    Speeney, E

    N. Speeney, E. Berti, V. Cardoso, and A. Maselli, Black holes surrounded by generic matter distributions: Polar perturbations and energy flux, Phys. Rev. D109, 084068 (2024), arXiv:2401.00932 [gr-qc]

  26. [26]

    Pezzella, K

    L. Pezzella, K. Destounis, A. Maselli, and V. Car- 7 doso, Quasinormal modes of black holes embedded in halos of matter, Phys. Rev. D111, 064026 (2025), arXiv:2412.18651 [gr-qc]

  27. [27]

    Gliorio, E

    S. Gliorio, E. Berti, A. Maselli, and N. Speeney, Extreme mass ratio inspirals in dark matter halos: dynamics and distinguishability of halo models, arXiv e-prints , arXiv:2503.16649 (2025), arXiv:2503.16649 [gr-qc]

  28. [28]

    P. S. Cole, G. Bertone, A. Coogan, D. Gaggero, T. Kary- das, B. J. Kavanagh, T. F. M. Spieksma, and G. M. Tomaselli, Distinguishing environmental effects on bi- nary black hole gravitational waveforms, Nature Astron. 7, 943 (2023), arXiv:2211.01362 [gr-qc]

  29. [29]

    Baumann, G

    D. Baumann, G. Bertone, J. Stout, and G. M. Tomaselli, Ionization of gravitational atoms, Phys. Rev. D105, 115036 (2022), arXiv:2112.14777 [gr-qc]

  30. [30]

    Brito and S

    R. Brito and S. Shah, Extreme mass-ratio inspirals into black holes surrounded by scalar clouds, Phys. Rev. D 108, 084019 (2023), [Erratum: Phys.Rev.D 110, 109902 (2024)], arXiv:2307.16093 [gr-qc]

  31. [31]

    Duque, C

    F. Duque, C. F. B. Macedo, R. Vicente, and V. Cardoso, Extreme-Mass-Ratio Inspirals in Ultralight Dark Matter, Phys. Rev. Lett.133, 121404 (2024), arXiv:2312.06767 [gr-qc]

  32. [32]

    G. M. Tomaselli, T. F. M. Spieksma, and G. Bertone, Dynamical friction in gravitational atoms, JCAP07, 070, arXiv:2305.15460 [gr-qc]

  33. [33]

    G.M.Tomaselli, T.F.M.Spieksma,andG.Bertone,Res- onant history of gravitational atoms in black hole bina- ries, Phys. Rev. D110, 064048 (2024), arXiv:2403.03147 [gr-qc]

  34. [34]

    G. M. Tomaselli, T. F. M. Spieksma, and G. Bertone, Legacy of Boson Clouds on Black Hole Binaries, Phys. Rev. Lett.133, 121402 (2024), arXiv:2407.12908 [gr-qc]

  35. [35]

    Bošković, M

    M. Bošković, M. Koschnitzke, and R. A. Porto, Signa- tures of Ultralight Bosons in the Orbital Eccentricity of Binary Black Holes, Phys. Rev. Lett.133, 121401 (2024), arXiv:2403.02415 [gr-qc]

  36. [36]

    Dyson, T

    C. Dyson, T. F. M. Spieksma, R. Brito, M. van de Meent, and S. Dolan, Environmental effects in extreme mass ratio inspirals: perturbations to the environ- ment in Kerr, arXiv e-prints , arXiv:2501.09806 (2025), arXiv:2501.09806 [gr-qc]

  37. [37]

    Rahman, S

    M. Rahman, S. Kumar, and A. Bhattacharyya, Probing astrophysical environment with eccentric extreme mass- ratio inspirals, JCAP01, 035, arXiv:2306.14971 [gr-qc]

  38. [38]

    T. K. Karydas, B. J. Kavanagh, and G. Bertone, Sharp- ening the dark matter signature in gravitational wave- forms. I. Accretion and eccentricity evolution, Phys. Rev. D111, 063070 (2025), arXiv:2402.13053 [gr-qc]

  39. [39]

    B. J. Kavanagh, T. K. Karydas, G. Bertone, P. Di Cintio, and M. Pasquato, Sharpening the dark matter signature in gravitational waveforms. II. Numerical simulations, Phys. Rev. D111, 063071 (2025), arXiv:2402.13762 [gr- qc]

  40. [40]

    D. Blas, S. Gasparotto, and R. Vicente, Searching for ultralight dark matter through frequency modulation of gravitational waves, Phys. Rev. D111, 042008 (2025), arXiv:2410.07330 [hep-ph]

  41. [41]

    A. L. Miller, Gravitational wave probes of particle dark matter: a review, arXiv e-prints , arXiv:2503.02607 (2025), arXiv:2503.02607 [astro-ph.HE]

  42. [42]

    Bertone, Dark matter, black holes, and gravita- tional waves, Nucl

    G. Bertone, Dark matter, black holes, and gravita- tional waves, Nucl. Phys. B1003, 116487 (2024), arXiv:2404.11513 [astro-ph.CO]

  43. [43]

    Della Monica and R

    R. Della Monica and R. Brito, Detectability of grav- itational atoms in black hole binaries with the Ein- stein Telescope, arXiv e-prints , arXiv:2503.23419 (2025), arXiv:2503.23419 [gr-qc]

  44. [44]

    S. H. W. Leong, J. Calderón Bustillo, M. Gracia-Linares, and P. Laguna, Detectability of dense-environment ef- fects on black-hole mergers: The scalar field case, higher- order ringdown modes, and parameter biases, Phys. Rev. D108, 124079 (2023), arXiv:2308.03250 [gr-qc]

  45. [45]

    Vicente, T

    R. Vicente, T. K. Karydas, and G. Bertone, A fully relativistic treatment of EMRIs in collisionless envi- ronments, arXiv e-prints , arXiv:2505.09715 (2025), arXiv:2505.09715 [gr-qc]

  46. [46]

    String Axiverse

    A. Arvanitaki, S. Dimopoulos, S. Dubovsky, N. Kaloper, and J. March-Russell, String Axiverse, Phys. Rev. D81, 123530 (2010), arXiv:0905.4720 [hep-th]

  47. [47]

    L. Hui, J. P. Ostriker, S. Tremaine, and E. Witten, Ultralight scalars as cosmological dark matter, Phys. Rev. D95, 043541 (2017), arXiv:1610.08297 [astro-ph.CO]

  48. [48]

    Hui,Wave Dark Matter,Ann

    L. Hui, Wave Dark Matter, Ann. Rev. Astron. Astrophys. 59, 247 (2021), arXiv:2101.11735 [astro-ph.CO]

  49. [49]

    E. G. M. Ferreira, Ultra-light dark matter, Astron. Astro- phys. Rev.29, 7 (2021), arXiv:2005.03254 [astro-ph.CO]

  50. [50]

    W. H. Press and S. A. Teukolsky, Floating Orbits, Su- perradiant Scattering and the Black-hole Bomb, Nature 238, 211 (1972)

  51. [51]

    Y. B. Zel’Dovich, Generation of Waves by a Rotating Body, Soviet Journal of Experimental and Theoretical Physics Letters14, 180 (1971)

  52. [52]

    S. L. Detweiler, KLEIN-GORDON EQUATION AND ROTATING BLACK HOLES, Phys. Rev. D22, 2323 (1980)

  53. [53]

    T. J. M. Zouros and D. M. Eardley, INSTABILITIES OF MASSIVE SCALAR PERTURBATIONS OF A RO- TATING BLACK HOLE, Annals Phys.118, 139 (1979)

  54. [54]

    The black hole bomb and superradiant instabilities

    V. Cardoso, O. J. C. Dias, J. P. S. Lemos, and S. Yoshida, TheBlackholebombandsuperradiantinstabilities,Phys. Rev. D70, 044039 (2004), [Erratum: Phys.Rev.D 70, 049903 (2004)], arXiv:hep-th/0404096

  55. [55]

    S. R. Dolan, Instability of the massive Klein-Gordon field on the Kerr spacetime, Phys. Rev. D76, 084001 (2007), arXiv:0705.2880 [gr-qc]

  56. [56]

    W. E. East and F. Pretorius, Superradiant Instabil- ity and Backreaction of Massive Vector Fields around Kerr Black Holes, Phys. Rev. Lett.119, 041101 (2017), arXiv:1704.04791 [gr-qc]

  57. [57]

    W. E. East, Massive Boson Superradiant Instability of Black Holes: Nonlinear Growth, Saturation, and Gravi- tational Radiation, Phys. Rev. Lett.121, 131104 (2018), arXiv:1807.00043 [gr-qc]

  58. [58]

    Superradiance -- the 2020 Edition

    R. Brito, V. Cardoso, and P. Pani, Superradiance: New Frontiers in Black Hole Physics, Lect. Notes Phys.906, pp.1 (2015), arXiv:1501.06570 [gr-qc]

  59. [59]

    Budker, J

    D. Budker, J. Eby, M. Gorghetto, M. Jiang, and G. Perez, A generic formation mechanism of ultralight dark matter solar halos, JCAP12, 021, arXiv:2306.12477 [hep-ph]

  60. [60]

    J. C. Aurrekoetxea, J. Marsden, K. Clough, and P. G. Ferreira, Self-interacting scalar dark matter around bi- nary black holes, Phys. Rev. D110, 083011 (2024), arXiv:2409.01937 [gr-qc]

  61. [61]

    L. K. Wong, Evolution of diffuse scalar clouds around binary black holes, Phys. Rev. D101, 124049 (2020), arXiv:2004.03570 [hep-th]

  62. [62]

    G. M. Tomaselli, Scattering of wave dark matter by 8 supermassive black holes, Phys. Rev. D111, 063075 (2025), arXiv:2501.00090 [gr-qc]

  63. [63]

    Bamber, J

    J. Bamber, J. C. Aurrekoetxea, K. Clough, and P. G. Ferreira, Black hole merger simulations in wave dark matter environments, Phys. Rev. D107, 024035 (2023), arXiv:2210.09254 [gr-qc]

  64. [64]

    J. C. Aurrekoetxea, K. Clough, J. Bamber, and P. G. Ferreira, Effect of Wave Dark Matter on Equal Mass Black Hole Mergers, Phys. Rev. Lett.132, 211401 (2024), arXiv:2311.18156 [gr-qc]

  65. [65]

    L. Hui, D. Kabat, X. Li, L. Santoni, and S. S. C. Wong, Black Hole Hair from Scalar Dark Matter, JCAP06, 038, arXiv:1904.12803 [gr-qc]

  66. [66]

    Clough, P

    K. Clough, P. G. Ferreira, and M. Lagos, Growth of massive scalar hair around a Schwarzschild black hole, Phys. Rev. D100, 063014 (2019), arXiv:1904.12783 [gr- qc]

  67. [67]

    Bamber, K

    J. Bamber, K. Clough, P. G. Ferreira, L. Hui, and M. Lagos, Growth of accretion driven scalar hair around Kerr black holes, Phys. Rev. D103, 044059 (2021), arXiv:2011.07870 [gr-qc]

  68. [68]

    Cardoso, T

    V. Cardoso, T. Ikeda, R. Vicente, and M. Zilhão, Par- asitic black holes: The swallowing of a fuzzy dark matter soliton, Phys. Rev. D106, L121302 (2022), arXiv:2207.09469 [gr-qc]

  69. [69]

    C. A. R. Herdeiro, E. Radu, and N. M. Santos, A bound on energy extraction (and hairiness) from superradiance, Phys. Lett. B824, 136835 (2022), arXiv:2111.03667 [gr- qc]

  70. [70]

    Advanced LIGO

    J. Aasiet al.(LIGO Scientific), Advanced LIGO, Class. Quant. Grav.32, 074001 (2015), arXiv:1411.4547 [gr-qc]

  71. [71]

    Advanced Virgo: a 2nd generation interferometric gravitational wave detector

    F. Acerneseet al.(VIRGO), Advanced Virgo: a second- generation interferometric gravitational wave detector, Class. Quant. Grav.32, 024001 (2015), arXiv:1408.3978 [gr-qc]

  72. [72]

    B. P. Abbottet al.(KAGRA, LIGO Scientific, Virgo), Prospects for observing and localizing gravitational-wave transients with Advanced LIGO, Advanced Virgo and KAGRA, Living Rev. Rel.19, 1 (2016), arXiv:1304.0670 [gr-qc]

  73. [73]

    Acerneseet al.(Virgo), Virgo detector characteriza- tion and data quality: results from the O3 run, Class

    F. Acerneseet al.(Virgo), Virgo detector characteriza- tion and data quality: results from the O3 run, Class. Quant. Grav.40, 185006 (2023), arXiv:2210.15633 [gr- qc]

  74. [74]

    Akutsuet al.(KAGRA), PTEP2021, 05A101 (2020), arXiv:2005.05574 [physics.ins-det]

    T. Akutsuet al.(KAGRA), Overview of KAGRA: Detec- tor design and construction history, PTEP2021, 05A101 (2021), arXiv:2005.05574 [physics.ins-det]

  75. [75]

    Buikemaet al.(aLIGO), Sensitivity and performance of the Advanced LIGO detectors in the third observing run, Phys

    A. Buikemaet al.(aLIGO), Sensitivity and performance of the Advanced LIGO detectors in the third observing run, Phys. Rev. D102, 062003 (2020), arXiv:2008.01301 [astro-ph.IM]

  76. [76]

    A. G. Abacet al.(LIGO Scientific, VIRGO, KAGRA), GWTC-4.0: Population Properties of Merging Com- pact Binaries, arXiv e-prints , arXiv:2508.18083 (2025), arXiv:2508.18083 [astro-ph.HE]

  77. [77]

    Evolution of the Dark Matter Distribution at the Galactic Center

    D. Merritt, Evolution of the dark matter distribution at the galactic center, Phys. Rev. Lett.92, 201304 (2004), arXiv:astro-ph/0311594

  78. [78]

    Time-Dependent Models for Dark Matter at the Galactic Center

    G. Bertone and D. Merritt, Time-dependent models for dark matter at the Galactic Center, Phys. Rev. D72, 103502 (2005), arXiv:astro-ph/0501555

  79. [79]

    B. J. Kavanagh, D. Gaggero, and G. Bertone, Merger rate of a subdominant population of primordial black holes, Phys. Rev. D98, 023536 (2018), arXiv:1805.09034 [astro-ph.CO]

  80. [80]

    P. S. Cole, A. Coogan, B. J. Kavanagh, and G. Bertone, Measuring dark matter spikes around primordial black holes with Einstein Telescope and Cosmic Explorer, Phys. Rev. D107, 083006 (2023), arXiv:2207.07576 [astro- ph.CO]

Showing first 80 references.