A no-go theorem excludes Gamma in [0,d] for typical non-topological non-relativistic spherically symmetric solitons, with the same exclusion for barotropic fluid compact objects, ruling out natural soliton explanations for observed dark matter halo cores with Gamma ~1.7.
Galaxy Formation with BECDM: I. Turbulence and relaxation of idealised haloes
11 Pith papers cite this work. Polarity classification is still indexing.
abstract
We present a theoretical analysis of some unexplored aspects of relaxed Bose-Einstein condensate dark matter (BECDM) haloes. This type of ultralight bosonic scalar field dark matter is a viable alternative to the standard cold dark matter (CDM) paradigm, as it makes the same large-scale predictions as CDM and potentially overcomes CDM's small-scale problems via a galaxy-scale de Broglie wavelength. We simulate BECDM halo formation through mergers, evolved under the Schr\"odinger-Poisson equations. The formed haloes consist of a soliton core supported against gravitational collapse by the quantum pressure tensor and an asymptotic $r^{-3}$ NFW-like profile. We find a fundamental relation of the core=to-halo mass with the dimensionless invariant $\Xi \equiv \lvert E \rvert/M^3/(Gm/\hbar)^2$ or $M_{\rm c}/M \simeq 2.6 \Xi^{1/3}$, linking the soliton to global halo properties. For $r \geq 3.5 \,r_{\rm c}$ core radii, we find equipartition between potential, classical kinetic, and quantum gradient energies. The haloes also exhibit a conspicuous turbulent behavior driven by the continuous reconnection of vortex lines due to wave interference. We analyse the turbulence 1D velocity power spectrum and find a $k^{-1.1}$ power-law. This suggests the vorticity in BECDM haloes is homogeneous, similar to thermally-driven counterflow BEC systems from condensed matter physics, in contrast to a $k^{-5/3}$ Kolmogorov power-law seen in mechanically-driven quantum systems. The mode where the power spectrum peaks is approximately the soliton width, implying the soliton-sized granules carry most of the turbulent energy in BECDM haloes.
representative citing papers
Gravitationally condensed Proca stars are sizably but not maximally spin-polarized, with core spin set by random elliptical polarization of the dominant mode rather than a universal fraction.
Numerical simulations find that black-hole wandering in FDM soliton cores produces intermittent accretion, limiting durable boosts except for ~10^7 solar mass seeds in low-sound-speed gas.
Vortex reconnections in BEC/superfluid dark-matter cores can transfer at most 0.06–4.5% of the virial energy in 10 Gyr under fiducial assumptions, so they cannot appreciably restructure the core.
A new AMR solver for the time-dependent GPP system is developed and validated on nonlinear test problems, preserving conservation laws and resolving wave features.
Simulations show fuzzy dark matter fraction up to 0.3 suppresses low-mass halos in mixed DM models, and a redshift- and fraction-dependent suppression function maps CDM HMFs to MDM HMFs within 0.1-0.2 dex accuracy for z=1-4.
Stationary BECDM core and vortex solutions around a black hole exist across self-interaction strengths, with stable branches identified via the enthalpy turning-point criterion.
Self-interaction changes the energy-mass scaling of BECDM core mergers from E proportional to minus M cubed to milder forms, altering mass retention, while an ideal gas only modifies the gravitational background without changing the bosonic scaling.
Fuzzy dark matter induces frequency-dependent amplitude birefringence in gravitational waves with periodic time modulation set by the scalar mass, but no velocity birefringence.
Simulations reveal tidal heating dominates stellar cluster evolution in low-mass fuzzy dark matter halos, suppressed by reduced soliton mass and tidal stripping, so halo structure must be modeled to constrain the fuzzy dark matter particle mass.
citing papers explorer
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A No-Go Theorem for the Mass-Radius Relation of Solitons
A no-go theorem excludes Gamma in [0,d] for typical non-topological non-relativistic spherically symmetric solitons, with the same exclusion for barotropic fluid compact objects, ruling out natural soliton explanations for observed dark matter halo cores with Gamma ~1.7.
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Spin Polarization of Proca Stars Formed by Gravitational Bose--Einstein Condensation
Gravitationally condensed Proca stars are sizably but not maximally spin-polarized, with core spin set by random elliptical polarization of the dominant mode rather than a universal fraction.
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Variability in Supermassive Black-Hole Accretion Rates in Fuzzy Dark Matter Cores due to Black-Hole Wandering
Numerical simulations find that black-hole wandering in FDM soliton cores produces intermittent accretion, limiting durable boosts except for ~10^7 solar mass seeds in low-sound-speed gas.
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Vortex-reconnection energy bounds in Bose-Einstein-condensed and superfluid dark matter halos
Vortex reconnections in BEC/superfluid dark-matter cores can transfer at most 0.06–4.5% of the virial energy in 10 Gyr under fiducial assumptions, so they cannot appreciably restructure the core.
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Time-dependent adaptive mesh refinement solver for the Gross-Pitaevskii-Poisson equations
A new AMR solver for the time-dependent GPP system is developed and validated on nonlinear test problems, preserving conservation laws and resolving wave features.
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Halo mass functions in mixed cold and fuzzy dark matter models
Simulations show fuzzy dark matter fraction up to 0.3 suppresses low-mass halos in mixed DM models, and a redshift- and fraction-dependent suppression function maps CDM HMFs to MDM HMFs within 0.1-0.2 dex accuracy for z=1-4.
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Equilibrium Core and Vortex Solutions of Bose Einstein Condensate Dark Matter around a Black Hole
Stationary BECDM core and vortex solutions around a black hole exist across self-interaction strengths, with stable branches identified via the enthalpy turning-point criterion.
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Effects of Self-Interaction and of an Ideal Gas in Binary Mergers of Bosonic Dark Matter Cores
Self-interaction changes the energy-mass scaling of BECDM core mergers from E proportional to minus M cubed to milder forms, altering mass retention, while an ideal gas only modifies the gravitational background without changing the bosonic scaling.
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Gravitational Wave Birefringence from Fuzzy Dark Matter
Fuzzy dark matter induces frequency-dependent amplitude birefringence in gravitational waves with periodic time modulation set by the scalar mass, but no velocity birefringence.
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Tidal Heating of Stellar Clusters in Fuzzy Dark Matter Halos
Simulations reveal tidal heating dominates stellar cluster evolution in low-mass fuzzy dark matter halos, suppressed by reduced soliton mass and tidal stripping, so halo structure must be modeled to constrain the fuzzy dark matter particle mass.
- Yukawa-Screened Bose-Star Condensation