Jeans instability and turbulent gravitational collapse of Bose-Einstein Condensate dark matter halos

Abstract

We consider the Jeans instability and the gravitational collapse of the rotating Bose-Einstein Condensate dark matter halos, described by the zero temperature non-relativistic Gross-Pitaevskii equation, with repulsive inter-particle interactions. In the Madelung representation of the wave function, the dynamical evolution of the galactic halos is described by the continuity and the hydrodynamic Euler equations, with the condensed dark matter satisfying a polytropic equation of state with index $n=1$. By considering small perturbations of the quantum hydrodynamical equations we obtain the dispersion relation and the Jeans wave number, which includes the effects of the vortices (turbulence), of the quantum pressure and of the quantum potential, respectively. The critical scales above which condensate dark matter collapses (the Jeans radius and mass) are discussed in detail. We also investigate the collapse/expansion of rotating condensed dark matter halos, and we find a family of exact semi-analytical solutions of the hydrodynamic evolution equations, derived by using the method of separation of variables. An approximate first order solution of the fluid flow equations is also obtained. The radial coordinate dependent mass, density and velocity profiles of the collapsing/expanding condensate dark matter halos are obtained by using numerical methods.

arXiv comment25 pages, 3 figures, accepted for publication in EPJC; references added

References in corpus (124)

• Planck 2015 results. XIII. Cosmological parameters
• The Structure of Cold Dark Matter Halos
• Theory of Bose-Einstein condensation in trapped gases
• Observational evidence for self-interacting cold dark matter
• Cold and Fuzzy Dark Matter
• Ultralight scalars as cosmological dark matter
• Too big to fail? The puzzling darkness of massive Milky Way subhaloes
• Dark Matter Self-interactions and Small Scale Structure
• Extra force in $f(R)$ modified theories of gravity
• Cosmic Structure as the Quantum Interference of a Coherent Dark Wave
• Formation of Galaxy Clusters
• Dynamics of collapsing and exploding Bose-Einstein condensates
• The Milky Way's bright satellites as an apparent failure of LCDM
• Understanding the Core-Halo Relation of Quantum Wave Dark Matter, $\psi$DM, from 3D Simulations
• Asymmetric Dark Matter: Theories, Signatures, and Constraints
• Can dark matter be a Bose-Einstein condensate?
• The non-gravitational interactions of dark matter in colliding galaxy clusters
• The Characterization of the Gamma-Ray Signal from the Central Milky Way: A Compelling Case for Annihilating Dark Matter
• Mass-radius relation of Newtonian self-gravitating Bose-Einstein condensates with short-range interactions: I. Analytical results
• Bose-Einstein Condensation of Dark Matter Axions
• Background model systematics for the Fermi GeV excess
• Late time Cosmological Phase Transition and Galactic Halo as Bose-liquid
• Halo Properties in Cosmological Simulations of Self-Interacting Cold Dark Matter
• Dark matter maps reveal cosmic scaffolding
• Fluid Dark Matter
• Dark matter production in the early Universe: beyond the thermal WIMP paradigm
• Repulsive Dark Matter
• Simulations of solitonic core mergers in ultra-light axion dark matter cosmologies
• Galaxy Masses
• Mass-radius relation of Newtonian self-gravitating Bose-Einstein condensates with short-range interactions: II. Numerical results
• How the Self-Interacting Dark Matter Model Explains the Diverse Galactic Rotation Curves
• Galactic Searches for Dark Matter
• Lensing of Fast Radio Bursts as a Probe of Compact Dark Matter
• Bose-Einstein Condensate general relativistic stars
• Dark Matter and Background Light
• Understanding the shape and diversity of dwarf galaxy rotation curves in LCDM
• Contrasting Galaxy Formation from Quantum Wave Dark Matter, $\psi$DM, with $\Lambda$CDM, using Planck and Hubble Data
• Angular Momentum and Vortex Formation in Bose-Einstein-Condensed Cold Dark Matter Haloes
• Evolution of cosmological perturbations in Bose-Einstein condensate dark matter
• Galactic Halos of Fluid Dark Matter
• Late-time Phase transition and the Galactic halo as a Bose Liquid: (II) the Effect of Visible Matter
• Can the galactic rotation curves be explained in brane world models?
• Bose-Einstein condensation of dark matter solves the core/cusp problem
• Constraints on Self-Interacting Dark Matter
• Gravitational probes of dark matter physics
• Spreading out and staying sharp - Creating diverse rotation curves via baryonic and self-interaction effects
• The Extraordinary Amount of Substructure in the Hubble Frontier Fields Cluster Abell 2744
• Growth of perturbations in an expanding universe with Bose-Einstein condensate dark matter
• Ultra-Light Dark Matter in Ultra-Faint Dwarf Galaxies
• Evidence of self-interacting cold dark matter from galactic to galaxy cluster scales
• Flat Central Density Profile and Constant DM Surface Density in Galaxies from Scalar Field Dark Matter
• The virial theorem and the dark matter problem in hybrid metric-Palatini gravity
• Jeans Analysis for Dwarf Spheroidal Galaxies in Wave Dark Matter
• Generalized virial theorem in f(R) gravity
• Cluster Density Profiles as a Test of Modified Gravity
• Collapse of a self-gravitating Bose-Einstein condensate with attractive self-interaction
• Minimum mass of galaxies from BEC or scalar field dark matter
• Review of the theoretical and experimental status of dark matter identification with cosmic-ray antideuterons
• The virial theorem and the dynamics of clusters of galaxies in the brane world models
• The diverse density profiles of galaxy clusters with self-interacting dark matter plus baryons
• The core-cusp problem: a matter of perspective
• Mimicking dark matter in galaxy clusters through a non-minimal gravitational coupling with matter
• Declining rotation curves of galaxies as a test of gravitational theory
• Dark matter component decaying after recombination: lensing constraints with Planck data
• Effective Theory of WIMP Dark Matter supplemented by Simplified Models: Singlet-like Majorana fermion case
• Cosmic structures via Bose Einstein condensation and its collapse
• Complex scalar field dark matter on galactic scales
• Enhanced tidal stripping of satellites in the galactic halo from dark matter self-interactions
• Power spectrum for the Bose-Einstein condensate dark matter
• MOA-II Galactic Microlensing Constraints: The Inner Milky Way has a Low Dark Matter Fraction and a Near Maximal Disk
• Vortices in Bose-Einstein Condensate Dark Matter
• Are galaxies extending?
• A Review of WIMP Baryogenesis Mechanisms
• Gravitational Waves as a New Probe of Bose-Einstein Condensate Dark Matter
• Relativistic self-gravitating Bose-Einstein condensates and cold baryons with a stiff equation of state
• BEC dark matter, Zeldovich approximation and generalized Burgers equation
• Gravitational collapse of Bose-Einstein condensate dark matter halos
• Rotation curves of rotating galactic BEC dark matter halos
• Evolution and dynamical properties of Bose-Einstein condensate dark matter stars
• Galaxy stability within a self-interacting dark matter halo
• Dark matter density profile and galactic metric in Eddington-inspired Born-Infeld gravity
• Cosmological evolution of finite temperature Bose-Einstein Condensate dark matter
• Galactic cold dark matter as a Bose-Einstein condensate of WISPs
• Stability of BEC galactic dark matter halos
• Dynamics of the Bose-Einstein condensation: analogy with the collapse dynamics of a classical self-gravitating Brownian gas
• Vortex Structures in a Rotating BEC Dark Matter Component
• Vortices and dynamics in trapped Bose-Einstein condensates
• Slowly rotating Bose Einstein Condensate galactic dark matter halos, and their rotation curves
• Boson Star from Repulsive Light Scalars and Gravitational Waves
• Jeans type instability of a complex self-interacting scalar field in general relativity
• Instability of a uniformly collapsing cloud of classical and quantum self-gravitating Brownian particles
• Lack of nuclear clusters in dwarf spheroidal galaxies: implications for massive black holes formation and the cusp/core problem
• Boson star at finite temperature
• Numerical simulation code for self-gravitating Bose-Einstein condensates
• Gravitational Instability in Radiation Pressure Dominated Backgrounds
• Collapse and stable self-trapping for Bose-Einstein condensates with 1/r^b type attractive interatomic interaction potential
• Bose-Einstein condensate strings
• Constraining condensate dark matter in galaxy clusters
• Thin accretion disks around cold Bose-Einstein Condensate stars
• Criteria for gravitational instability and quasi-isolated gravitational collapse in turbulent medium
• Generalized virial theorem in Palatini $f(R)$ gravity
• Exact analytical solution of the collapse of self-gravitating Brownian particles and bacterial populations at zero temperature
• Gravitational, lensing, and stability properties of Bose-Einstein condensate dark matter halos
• Dynamical stability of infinite homogeneous self-gravitating systems: application of the Nyquist method
• Gravitationally Bound Bose Condensates with Rotation
• Brane-$f(R)$ gravity and dark matter
• Evolution of a dwarf satellite galaxy embedded in a scalar field dark matter halo
• Self-similar expansion of the density profile in a turbulent Bose-Einstein condensate
• Revisiting the constraints on annihilating dark matter by radio observational data of M31
• Discussion on the energy content of the galactic dark matter Bose-Einstein condensate halo in the Thomas-Fermi approximation
• Stability of self-gravitating Bose-Einstein-Condensates
• Gravitational collapse in the Schrödinger-Poisson system
• Observational constraints on spinning, relativistic Bose-Einstein condensate stars
• Cosmological perturbations during the Bose-Einstein condensation of dark matter
• Constraints on Bose-Einstein-condensed Axion Dark Matter from The HI Nearby Galaxy Survey data
• Constraining annihilating dark matter by radio data of M33
• On wave dark matter in spiral and barred galaxies
• Dark Matter as a Non-Relativistic Bose-Einstein Condensate with Massive Gravitons
• Analytical Approximation for Newtonian Boson Stars in Four and Five Dimensions -- A Poor Person's Approach to Rotating Boson Stars
• Virial mass in DGP brane cosmology
• Asymmetric dark matter with a possible Bose-Einstein condensate
• A new target object for constraining annihilating dark matter
• Spherical collapse of fuzzy dark matter
• Bose-Einstein condensate and degenerate Fermi cored dark matter halos

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