Dark matter concentrations in galactic nuclei according to polytropic models

Abstract

We calculate the radial profiles of galaxies where the nuclear region is self-gravitating, consisting of self-interacting dark matter (SIDM) with $F$ degrees of freedom. For sufficiently high density this dark matter becomes collisional, regardless of its behaviour on galaxy scales. Our calculations show a spike in the central density profile, with properties determined by the dark matter microphysics, and the densities can reach the `mean density' of a black hole (from dividing the black-hole mass by the volume enclosed by the Schwarzschild radius). For a galaxy halo of given compactness ($\chi =2GM/R{c}^2$), certain values for the dark matter entropy yield a dense central object lacking an event horizon. For some soft equations of state of the SIDM (e.g. $F\ge 6$), there are multiple horizonless solutions at given compactness. Although light propagates around and through a sphere composed of dark matter, it is gravitationally lensed and redshifted. While some calculations give non-singular solutions, others yield solutions with a central singularity. In all cases the density transitions smoothly from the central body to the dark-matter envelope around it, and to the galaxy's dark matter halo. We propose that pulsar timing observations will be able to distinguish between systems with a centrally dense dark matter sphere (for different equations of state) and conventional galactic nuclei that harbour a supermassive black hole.

arXiv commentMNRAS accepted, 24 pages, 12 figures

References in corpus (225)

• The Structure of Cold Dark Matter Halos
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• A Fundamental Relation Between Supermassive Black Holes and Their Host Galaxies
• The Demography of Massive Dark Objects in Galaxy Centres
• Observational evidence for self-interacting cold dark matter
• Generalized Chaplygin Gas, Accelerated Expansion and Dark Energy-Matter Unification
• Monitoring stellar orbits around the Massive Black Hole in the Galactic Center
• On the Black Hole Mass - Bulge Mass Relation
• Measuring Distance and Properties of the Milky Way's Central Supermassive Black Hole with Stellar Orbits
• The M-sigma and M-L Relations in Galactic Bulges and Determinations of their Intrinsic Scatter
• A luminous quasar at a redshift of z = 7.085
• The Structure of Dark Matter Haloes in Dwarf Galaxies
• Closest Star Seen Orbiting the Supermassive Black Hole at the Centre of the Milky Way
• Cosmic Structure as the Quantum Interference of a Coherent Dark Wave
• Observational constraints on growth of massive black holes
• Response of dark matter halos to condensation of baryons: cosmological simulations and improved adiabatic contraction model
• Event-horizon-scale structure in the supermassive black hole candidate at the Galactic Centre
• The Baryonic Tully-Fisher Relation
• Observational and Theoretical Constraints on Singular Dark Matter Halos
• The Core-Cusp Problem
• Dark matter annihilation at the galactic center
• The large-scale structure of the Universe
• Cosmological Simulations with Self-Interacting Dark Matter I: Constant Density Cores and Substructure
• An ultra-luminous quasar with a twelve-billion-solar-mass black hole at redshift 6.30
• Near-infrared flares from accreting gas around the supermassive black hole at the Galactic Centre
• A Method for Measuring (Slopes of) the Mass Profiles of Dwarf Spheroidal Galaxies
• Galaxy Clustering in Early SDSS Redshift Data
• The SIMP Miracle
• The cored distribution of dark matter in spiral galaxies
• Subhaloes in Self-Interacting Galactic Dark Matter Haloes
• Understanding the Core-Halo Relation of Quantum Wave Dark Matter, $\psi$DM, from 3D Simulations
• Can dark matter be a Bose-Einstein condensate?
• Self-Consistent Models of the AGN and Black Hole Populations: Duty Cycles, Accretion Rates, and the Mean Radiative Efficiency
• Cosmological Simulations with Self-Interacting Dark Matter II: Halo Shapes vs. Observations
• The Observed properties of Dark Matter on small spatial scales
• The Baryonic Tully-Fisher Relation of Gas Rich Galaxies as a Test of LCDM and MOND
• Dark Matter Scaling Relations
• Spatial correlation function and pairwise velocity dispersion of galaxies: CDM models versus the Las Campanas Survey
• An expanded M_bh-sigma diagram, and a new calibration of active galactic nuclei masses
• Dark Matter and Dark Radiation
• A Survey of z>5.7 Quasars in the Sloan Digital Sky Survey III: Discovery of Five Additional Quasars
• Halo Properties in Cosmological Simulations of Self-Interacting Cold Dark Matter
• Cores in Dwarf Galaxies from Dark Matter with a Yukawa Potential
• Two ten-billion-solar-mass black holes at the centres of giant elliptical galaxies
• Fluid Dark Matter
• Repulsive Dark Matter
• Halo Shape and Relic Density Exclusions of Sommerfeld-Enhanced Dark Matter Explanations of Cosmic Ray Excesses
• A Dark-Matter Spike at the Galactic Center?
• Core Formation in Dwarf Halos with Self Interacting Dark Matter: No Fine-Tuning Necessary
• Dark-Matter Electric and Magnetic Dipole Moments
• Discovery of three z>6.5 quasars in the VISTA Kilo-degree Infrared Galaxy (VIKING) survey
• High-resolution dark matter density profiles of THINGS dwarf galaxies: Correcting for non-circular motions
• Dark Matter Self-Interactions and Light Force Carriers
• The small scatter of the baryonic Tully-Fisher relation
• Mass-radius relation of Newtonian self-gravitating Bose-Einstein condensates with short-range interactions: II. Numerical results
• Weakly Self-Interacting Dark Matter and the Structure of Dark Halos
• The nuclear star cluster of the Milky Way: proper motions and mass
• Atomic Dark Matter
• The structure of the nuclear stellar cluster of the Milky Way
• Improved evidence for a black hole in M32 from HST/FOS spectra - II. Axisymmetric dynamical models
• Turning off the Lights: How Dark is Dark Matter?
• Self-Interacting Dark Matter from a Non-Abelian Hidden Sector
• Stellar remnants in galactic nuclei: mass segregation
• Sterile neutrino dark matter bounds from galaxies of the Local Group
• Self-Interacting Dark Matter Halos and the Gravothermal Catastrophe
• The Shortest Known Period Star Orbiting our Galaxy's Supermassive Black Hole
• Strong mass segregation around a massive black hole
• An Over-Massive Black Hole in the Compact Lenticular Galaxy NGC1277
• Into the lair: gravitational-wave signatures of dark matter
• A Cluster of Black Holes at the Galactic Center
• The Sloan Lens ACS Survey. VII. Elliptical Galaxy Scaling Laws from Direct Observational Mass Measurements
• Frame dragging and other precessional effects in black hole-pulsar binaries
• Strong-Field Tests of Gravity Using Pulsars and Black Holes
• Prospects for Probing the Spacetime of Sgr A* with Pulsars
• Dynamical modelling of luminous and dark matter in 17 Coma early-type galaxies
• Black hole lightning due to particle acceleration at subhorizon scales
• Constraints on Large-Scale Dark Acoustic Oscillations from Cosmology
• Exploring the Low-Mass End of The M-Sigma Relation with Active Galaxies
• The structure and evolution of weakly self-interacting cold dark matter halos
• Evolution of cosmological perturbations in Bose-Einstein condensate dark matter
• Composite strongly interacting dark matter
• A Self-Consistent Dynamical Model for the COBE Detected Galactic Bar
• Galactic Halos of Fluid Dark Matter
• A supermassive boson star at the galactic center?
• A Quantitative Test of the No-Hair Theorem with Sgr A* using stars, pulsars, and the Event Horizon Telescope
• Distinguishing black holes from naked singularities through their accretion disk properties
• Imaging a boson star at the Galactic center
• Evolution of the Dark Matter Distribution at the Galactic Center
• A new probe of dark matter properties: gravitational waves from an intermediate mass black hole embedded in a dark matter mini-spike
• Models of Galaxies with Central Black Holes: Adiabatic Growth in Spherical Galaxies
• High-Resolution Simulation on Structure Formation with Extremely Light Bosonic Dark Matter
• Gravothermal collapse of isolated self-interacting dark matter haloes: N-body simulation versus the fluid model
• Probing the Spacetime Around Sgr A* with Radio Pulsars
• Time Delay in Black Hole Gravitational Lensing as a Distance Estimator
• Equilibrium configurations from gravitational collapse
• A 17-billion-solar-mass black hole in a group galaxy with a diffuse core
• Dwarf spheroidal galaxy kinematics and spiral galaxy scaling laws
• Supermassive Black Holes from Ultra-Strongly Self-Interacting Dark Matter
• Can accretion disk properties observationally distinguish black holes from naked singularities?
• On The Linearity of The Black Hole - Bulge Mass Relation in Active and in Nearby Galaxies
• Stable Bound States of Asymmetric Dark Matter
• A Quantitative Study of Interacting Dark Matter in Halos
• Flat Central Density Profile and Constant DM Surface Density in Galaxies from Scalar Field Dark Matter
• Detecting Dark Matter with Imploding Pulsars in the Galactic Center
• Central mass-to-light ratios and dark matter fractions in early-type galaxies
• Collisional versus Collisionless Dark Matter
• The ESO Nearby Abell Cluster Survey. XII. The mass and mass-to-light-ratio profiles of rich clusters
• Chandra Observations of the Lensing Cluster EMSS 1358+6245: Implications for Self-Interacting Dark Matter
• The stellar and dark matter distributions in elliptical galaxies from the ensemble of strong gravitational lenses
• Scattering properties of dark atoms and molecules
• The cosmological bulk flow: consistency with $\Lambda$CDM and $z\approx 0$ constraints on ${\sigma }_8$ and $\gamma$
• Collisional Dark Matter and the Origin of Massive Black Holes
• A strongly magnetized pulsar within grasp of the Milky Way's supermassive black hole
• Asymmetric Dark Matter Stars
• General relativistic radiative transfer: formulation and emission from structured tori around black holes
• Multiwavelength Constraints on Pulsar Populations in the Galactic Center
• A Virial Core in the Sculptor Dwarf Spheroidal Galaxy
• Big Bang Synthesis of Nuclear Dark Matter
• Gravothermal Collapse of Self-Interacting Dark Matter Halos and the Origin of Massive Black Holes
• Dark Fluid: a complex scalar field to unify dark energy and dark matter
• Prevalence and Properties of Dark Matter in Elliptical Galaxies
• The core size of the Fornax dwarf Spheroidal
• A correlation between central supermassive black holes and the globular cluster systems of early-type galaxies
• Formation and Evolution of the Self-Interacting Dark Matter Halos
• The 6dF Galaxy Survey: Bulk Flows on $50-70h^{-1}$ Mpc scales
• Gravitational-Wave Signature of an Inspiral into a Supermassive Horizonless Object
• Regularized orbit models unveiling the stellar structure and dark matter halo of the Coma elliptical NGC 4807
• Fermionic warm dark matter produces galaxy cores in the observed scales because of quantum mechanics
• A High-Frequency Search for Pulsars Within the Central Parsec of SgrA*
• Stellar and total mass in early-type lensing galaxies
• A Brightest Cluster Galaxy with an Extremely Large Flat Core
• A clear and measurable signature of modified gravity in the galaxy velocity field
• K$\alpha$ iron line profile from accretion disks around regular and singular exotic compact objects
• Cosmological dynamics of dark matter Bose-Einstein Condensation
• The Peculiar Pulsar Population of the Central Parsec
• Boson Stars as Gravitational Lenses
• Apoastron Shift Constraints on Dark Matter Distribution at the Galactic Center
• Planetary Nebulae in Face-On Spiral Galaxies. III. Planetary Nebula Kinematics and Disk Mass
• Dark matter concentration in the galactic center
• Near-Infrared Microlensing of Stars by the Super-Massive Black Hole in the Galactic Center
• Observational Constraints on the Self Interacting Dark Matter Scenario and the Growth of Supermassive Black Holes
• Active galactic nuclei and massive galaxy cores
• Dwarf spheroidal galaxies as degenerate gas of free fermions
• The SLUGGS Survey: Breaking degeneracies between dark matter, anisotropy and the IMF using globular cluster subpopulations in the giant elliptical NGC 5846
• Connecting Dark Matter Halos with the Galaxy Center and the Supermassive Black Hole
• The gravitational redshift of boson stars
• MRK 1216 & NGC 1277 - An orbit-based dynamical analysis of compact, high velocity dispersion galaxies
• Evidence for Dark Matter Self-Interactions via Collisionless Shocks in Cluster Mergers
• On Detecting Millisecond Pulsars at the Galactic Center
• High Precision Stellar Radial Velocities in the Galactic Center
• Formation and evolution of nuclear star clusters with in-situ star-formation: Nuclear cores and age segregation
• Self-interacting dark matter cusps around massive black holes
• Universality and backreaction in a general-relativistic accretion of steady fluids
• Masses of Nearby Supermassive Black Holes with Very-Long Baseline Interferometry
• Weighing the cusp at the Galactic Centre
• Galaxy stability within a self-interacting dark matter halo
• The test for suppressed dynamical friction in a constant density core of dwarf galaxies
• Mapping the Galactic Center with Gravitational Wave Measurements using Pulsar Timing
• Composite magnetic dark matter and the 130 GeV line
• Boson stars with generic self-interactions
• Dynamics of the NGC 4636 globular cluster system II. Improved constraints from a large sample of globular cluster velocities
• SPIDER - VI. The Central Dark Matter Content of Luminous Early-Type Galaxies: Benchmark Correlations with Mass, Structural Parameters and Environment
• Black Hole Growth in Dark Matter and the M_{bh} - σRelation
• A microlensing measurement of dark matter fractions in three lensing galaxies
• Dark Atoms and Puzzles of Dark Matter Searches
• Projected central dark matter fractions and densities in massive early-type galaxies from the Sloan Digital Sky Survey
• Steady General Relativistic Magnetohydrodynamic Inflow/Outflow Solution along Large-Scale Magnetic Fields that Thread a Rotating Black Hole
• Dark matter dynamics in Galactic center
• Ruling Out Bosonic Repulsive Dark Matter in Thermal Equilibrium
• Geodesic motion in the space-time of a non-compact boson star
• The dependence of the pairwise velocity dispersion on galaxy properties
• The Globular Cluster Kinematics and Galaxy Dark Matter Content of NGC 3923
• Firewalls, black-hole thermodynamics, and singular solutions of the Tolman-Oppenheimer-Volkoff equation
• Fast Growth of Supermassive Black Holes in Galaxies
• Variations in emission from episodic plasmoid ejecta around black holes
• The distribution of dark and luminous matter inferred from extended rotation curves
• SDSS J013127.34-032100.1: a candidate blazar with a 11 billion solar mass black hole at $z$=5.18
• Correlation of Black Hole and Bulge Masses: Driven by Energy but Correlated with Momentum
• Polytropic dark matter flows illuminate dark energy and accelerated expansion
• The Galaxy Pairwise Velocity Dispersion as a Function of Local Density
• Circular geodesics and thick tori around rotating boson stars
• Constraints on Light Magnetic Dipole Dark Matter from the ILC and SN 1987A
• Exploring the effects of pressure on the radial accretion of dark matter by a Schwarzschild supermassive black hole
• Weighing of the Dark Matter at the Center of the Galaxy
• Dark matter halos around isolated ellipticals
• Clocks around Sgr A*
• Stellar polytropes and Navarro-Frenk-White halo models: comparison with observations
• A HR-like diagram for galaxies: the M_BH versus M_G sigma^2 relation
• The SLUGGS Survey: Multi-population dynamical modelling of the elliptical galaxy NGC 1407 from stars and globular clusters
• X-ray emission from the Ultramassive Black Hole candidate NGC1277: implications and speculation on its origin
• Exploring the Correlations between Globular Cluster Populations and Supermassive Black Holes in Giant Galaxies
• Minimal nonabelian model of atomic dark matter
• Exact expressions for the pericenter precession caused by some Dark Matter distributions and constraints on them from orbital motions in the Solar System, in the double pulsar and in the Galactic center
• The overmassive black hole in NGC 1277: new constraints from molecular gas kinematics
• Radial Velocities of Stars in the Galactic Center
• Dark matter in galaxies and growth of giant black holes
• The Role of the Equation of State in Resistive Relativistic Magnetohydrodynamics
• Fast Spinning Pulsars as Probes of Massive Black Holes' Gravity
• Sextans' cold substructures as a dynamical judge: Core, Cusp or MOND?
• Horizon growth of supermassive black hole seeds fed with collisional dark matter
• Dark matter and dark energy accretion onto intermediate-mass black holes
• The massive dark halo of the compact, early-type galaxy NGC 1281
• The Structure of Self-Gravitating Polytropic Systems with n around 5
• Collisional dark matter density profiles around supermassive black holes
• Formation of photon spheres in boson stars with a nonminimally coupled field
• An upper limit to the central density of dark matter haloes from consistency with the presence of massive central black holes
• Fermion stars as gravitational lenses
• Radial structure, inflow & central mass of stationary radiative galaxy clusters
• Complex orbital dynamics of a double neutron star system revolving around a massive black hole
• Measuring the total and baryonic mass profiles of the very massive CASSOWARY 31 strong lens. A fossil system at z ~ 0.7?
• Relativistic Self-similar Dynamic Collapses of Black Holes in General Polytropic Spherical Clouds
• On the stability of steady general-relativistic accretion and analogue black holes
• Dark Matter Subhalos in the Ursa Minor Dwarf Galaxy
• A Captured Runaway Black Hole in NGC 1277?
• Monitoring lensed starlight emitted close to the Galactic Center
• Empirical testing of Tsallis' Thermodynamics as a model for dark matter halos
• Entropic Upper Bound on Gravitational Binding Energy
• Detection of pulsar beams deflected by the black hole in Sgr A*: effects of black hole spin
• A Symbiotic Scenario for the Rapid Formation of Supermassive Black Holes
• An extreme gravitationally redshifted iron line at 4.8 keV in Mrk 876
• Rotation Curves and Nonextensive Statistics
• Absorption of dark matter by a supermassive black hole at the Galactic center: role of boundary conditions
• Dark halo microphysics and massive black hole scaling relations in galaxies
• Polytropic dark halos of elliptical galaxies
• Gravitational and distributed heating effects of a cD galaxy on the hydrodynamical structure of its host cluster

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