Published December 18, 2024 | Version Published
Journal Article Open

Simulating the Galactic population of axion clouds around stellar-origin black holes: Gravitational wave signals in the 10–100 kHz band

  • 1. ROR icon Northwestern University
  • 2. ROR icon California Institute of Technology
  • 3. ROR icon University of California, Davis

Abstract

Ultralight scalar fields can experience runaway “superradiant” amplification near spinning black holes, resulting in a macroscopic “axion cloud,” which slowly dissipates via continuous monochromatic gravitational waves. For a particular range of boson masses, , an axion cloud will radiate in the 10–100 kHz band of the levitated sensor detector (LSD). Using fiducial models of the mass, spin, and age distributions of stellar-origin black holes, we simulate the present-day Milky Way population of these hypothetical objects. As a first step toward assessing the LSD’s sensitivity to the resultant ensemble of gravitational wave signals, we compute the corresponding signal-to-noise ratios which build up over a nominal integration time of , assuming the projected sensitivity of the 1 m LSD prototype currently under construction, as well as for future 10 m and 100 m concepts. For a 100 m cryogenic instrument, hundreds of resolvable signals could be expected if the boson mass is around , and this number diminishes with increasing up to . The much larger population of unresolved sources will produce a confusion foreground which could be detectable by a 10-m instrument if 𝜇 ∈ (3–4.5)×10⁻¹¹ eV or by a 100-m instrument if 𝜇 ∈ (3–6)×10⁻¹¹ eV.

Copyright and License

© 2024 American Physical Society.

Acknowledgement

We would like to thank Vedant Dhruv for making public his Mathematica notebook for scalar bound-states in Kerr. We also thank Timothy Kovachy for clarifying issues of numerical precision when using Mathematica’s root-finding routines and Richard Brito for several clarifying discussions on axion clouds and their gravitational-wave emission. J. S., A. G., and S. L. are supported by the W. M. Keck Foundation. A. G., G. W., and N. A. are supported in part by NSF grants PHY-2110524 and PHY-2111544, the Heising-Simons Foundation, the John Templeton Foundation, and ONR Grant No. N00014-18-1-2370. N. A. is partially supported by the CIERA Postdoctoral Fellowship from the Center for Interdisciplinary Exploration and Research in Astrophysics at Northwestern University and the University of California, Davis. S. L. is also supported by EPSRC International Quantum Technologies Network Grant No. EP/W02683X/1 and is grateful for EPSRC support through Standard Research Studentship (DTP) EP/R51312X/1. V. K. is supported by a CIFAR Senior Fellowship and through Northwestern University through the D. I. Linzer Distinguished University Professorship. A. L. is supported by the Fannie and John Hertz Foundation. This work used the Quest computing facility at Northwestern.

Data Availability

No data were created or analyzed beyond what is included in this article.

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Additional details

Related works

Is new version of
Discussion Paper: arXiv:2409.03714 (arXiv)

Funding

W. M. Keck Foundation
National Science Foundation
PHY-2110524
National Science Foundation
PHY-2111544
Heising-Simons Foundation
John Templeton Foundation
Office of Naval Research
N00014-18-1-2370
Northwestern University
University of California, Davis
Engineering and Physical Sciences Research Council
EP/W02683X/1
Engineering and Physical Sciences Research Council
EP/R51312X/1
Hertz Foundation

Dates

Accepted
2024-10-29

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Publication Status
Published