- Open Access
Diversity of fuzzy dark matter solitons
Phys. Rev. D 112, 063021 – Published 10 September, 2025
DOI: https://doi.org/10.1103/jm6g-x9jr
Abstract
According to the Schrödinger-Poisson equations, fuzzy dark matter (FDM) can form a stable equilibrium configuration, the so-called FDM soliton. In principle, given the FDM particle mass, the profile of the FDM soliton is fixed. In practice, however, there is a great diversity of structures in the Universe. Possible causes of such diversity can lie in such sources as the gravitoelectric field due to a central supermassive black hole, the gravitomagnetic field due to the system angular momentum, and an ellipsoidal baryon background. We find that the effects of the gravitomagnetic field due to the soliton’s self-angular momentum are very weak while those of the other sources are considerable.
Physics Subject Headings (PhySH)
Article Text
References (38)
- V. C. Rubin, W. K. Ford, Jr., N. Thonnard, and D. Burstein, Rotational properties of 23 SB galaxies, Astrophys. J. 261, 439 (1982).
- M. Davis, G. Efstathiou, C. S. Frenk, and S. D. M. White, The evolution of large scale structure in a universe dominated by cold dark matter, Astrophys. J. 292, 371 (1985).
- D. Clowe, M. Bradac, A. H. Gonzalez, M. Markevitch, S. W. Randall, C. Jones, and D. Zaritsky, A direct empirical proof of the existence of dark matter, Astrophys. J. Lett. 648, L109 (2006).
- N. Aghanim et al. (Planck Collaboration), Planck 2018 results. VI. Cosmological parameters, Astron. Astrophys. 641, A6 (2020); 652, C4(E) (2021).
- R. H. Sanders, Modified gravity without dark matter, Lect. Notes Phys. 720, 375 (2007).
- A. Tan et al. (PandaX-II Collaboration), Dark matter results from first 98.7 days of data from the PandaX-II experiment, Phys. Rev. Lett. 117, 121303 (2016).
- D. S. Akerib et al. (LUX Collaboration), Improved limits on scattering of weakly interacting massive particles from reanalysis of 2013 LUX data, Phys. Rev. Lett. 116, 161301 (2016).
- D. S. Akerib et al. (LUX Collaboration), Results from a search for dark matter in the complete LUX exposure, Phys. Rev. Lett. 118, 021303 (2017).
- B. Carr, F. Kuhnel, and M. Sandstad, Primordial black holes as dark matter, Phys. Rev. D 94, 083504 (2016).
- J. Primack, Cosmology: Small scale issues revisited, New J. Phys. 11, 105029 (2009).
- P. Bull, Y. Akrami, J. Adamek, T. Baker, E. Bellini, J. Beltran Jimenez, E. Bentivegna, S. Camera, S. Clesse, J. H. Davis et al., Beyond ΛCDM: Problems, solutions, and the road ahead, Phys. Dark Universe 12, 56 (2016).
- W. Hu, R. Barkana, and A. Gruzinov, Cold and fuzzy dark matter, Phys. Rev. Lett. 85, 1158 (2000).
- H. Y. Schive, T. Chiueh, and T. Broadhurst, Cosmic structure as the quantum interference of a coherent dark wave, Nat. Phys. 10, 496 (2014).
- H. Y. Schive, M. H. Liao, T. P. Woo, S. K. Wong, T. Chiueh, T. Broadhurst, and W. Y. P. Hwang, Understanding the core-halo relation of quantum wave dark matter from 3D simulations, Phys. Rev. Lett. 113, 261302 (2014).
- I. De Martino, T. Broadhurst, S. H. Henry Tye, T. Chiueh, H. Y. Schive, and R. Lazkoz, Recognizing axionic dark matter by Compton and de Broglie scale modulation of pulsar timing, Phys. Rev. Lett. 119, 221103 (2017).
- P. Mocz, A. Fialkov, M. Vogelsberger, F. Becerra, M. A. Amin, S. Bose, M. Boylan-Kolchin, P. H. Chavanis, L. Hernquist, L. Lancaster et al., First star-forming structures in fuzzy cosmic filaments, Phys. Rev. Lett. 123, 141301 (2019).
- D. J. Kaup, Klein-Gordon geon, Phys. Rev. 172, 1331 (1968).
- R. Ruffini and S. Bonazzola, Systems of self-gravitating particles in general relativity and the concept of an equation of state, Phys. Rev. 187, 1767 (1969).
- T. X. Ma, C. Liang, J. Yang, and Y. Q. Wang, Hybrid Proca-boson stars, Phys. Rev. D 108, 104011 (2023).
- P. H. Chavanis, Mass-radius relation of Newtonian self-gravitating Bose-Einstein condensates with short-range interactions: I. Analytical results, Phys. Rev. D 84, 043531 (2011).
- P. H. Chavanis and L. Delfini, Mass-radius relation of Newtonian self-gravitating Bose-Einstein condensates with short-range interactions: II. Numerical results, Phys. Rev. D 84, 043532 (2011).
- F. S. Guzman and L. A. Urena-Lopez, Evolution of the Schrodinger-Newton system for a selfgravitating scalar field, Phys. Rev. D 69, 124033 (2004).
- A. Paredes and H. Michinel, Interference of dark matter solitons and galactic offsets, Phys. Dark Universe 12, 50 (2016).
- F. Edwards, E. Kendall, S. Hotchkiss, and R. Easther, PyUltraLight: A pseudo-spectral solver for ultralight dark matter dynamics, J. Cosmol. Astropart. Phys. 10 (2018) 027.
- E. Munive-Villa, J. N. Lopez-Sanchez, A. A. Avilez-Lopez, and F. S. Guzman, Solving the Schrödinger-Poisson system using the coordinate adaptive moving mesh method, Phys. Rev. D 105, 083521 (2022).
- E. Y. Davies and P. Mocz, Fuzzy dark matter soliton cores around supermassive black holes, Mon. Not. R. Astron. Soc. 492, 5721 (2020).
- G. F. R. Ellis, R. Maartens, and M. A. H. MacCallum, Relativistic Cosmology (Cambridge University Press, Cambridge, England, 2012).
- B. Salehian, H. Y. Zhang, M. A. Amin, D. I. Kaiser, and M. H. Namjoo, Beyond Schrödinger-Poisson: Nonrelativistic effective field theory for scalar dark matter, J. High Energy Phys. 09 (2021) 050.
- N. Bar, K. Blum, J. Eby, and R. Sato, Ultralight dark matter in disk galaxies, Phys. Rev. D 99, 103020 (2019).
- F. Iocco, M. Pato, and G. Bertone, Evidence for dark matter in the inner milky way, Nat. Phys. 11, 245 (2015).
- H. N. Lin and X. Li, The dark matter profiles in the milky way, Mon. Not. R. Astron. Soc. 487, 5679 (2019).
- H. Y. J. Chan, E. G. M. Ferreira, S. May, K. Hayashi, and M. Chiba, The diversity of core–halo structure in the fuzzy dark matter model, Mon. Not. R. Astron. Soc. 511, 943 (2022).
- W. Wang, J. Han, M. Cautun, Z. Li, and M. N. Ishigaki, The mass of our milky way, Sci. China Phys. Mech. Astron. 63, 109801 (2020).
- M. Lopez-Corredoira, A. Cabrera-Lavers, and O. E. Gerhard, A Boxy bulge in the milky way. Inversion of the stellar statistics equation with 2 MASS data, Astron. Astrophys. 439, 107 (2005).
- Y. H. Ryu, H. Y. Chang, M. G. Park, and K. W. Lee, Microlensing optical depth revisited with recent star counts, Astrophys. J. 689, 1078 (2008).
- K. Ferriere, W. Gillard, and P. Jean, Spatial distribution of interstellar gas in the innermost 3 kpc of our Galaxy, Astron. Astrophys. 467, 611 (2007).
- P. H. Chavanis, Mass-radius relation of self-gravitating Bose-Einstein condensates with a central black hole, Eur. Phys. J. Plus 134, 352 (2019).
- J. Chen and H. Y. Zhang, Novel structures and collapse of solitons in nonminimally gravitating dark matter halos, J. Cosmol. Astropart. Phys. 10 (2024) 005.