structure

dark matter halo structure

The distribution and shape of dark matter surrounding galaxies, inferred from stellar kinematics.
40 related articles · 4 formulas

Description

Dark matter halos are the invisible, massive structures that surround galaxies, extending far beyond their visible stars and gas. They are the scaffolding on which galaxies form and evolve, and their shape and distribution are inferred indirectly from the motions of stars and gas within them. The study of dark matter halos is central to understanding galaxy formation, the large-scale structure of the universe, and the nature of dark matter itself.

History

The concept of dark matter halos emerged in the 1970s from the work of Vera Rubin and Kent Ford, who measured galaxy rotation curves, and earlier theoretical work by Fritz Zwicky in the 1930s on galaxy clusters. The specific term 'halo' became common in the 1980s with the rise of cold dark matter models.

How it works

Dark matter halos are not directly observable, but their gravitational influence is. By measuring the rotation curves of galaxies (how fast stars orbit the center) or the velocities of satellite galaxies, astronomers can map the total mass distribution. The observed flat rotation curves, which do not decline as expected from visible matter alone, reveal the presence of a massive, extended halo. The shape of the halo is often modeled as a flattened, triaxial ellipsoid, and its structure can be probed through gravitational lensing, where the halo's gravity bends light from background objects.

In practice

Understanding dark matter halos is crucial for interpreting galaxy surveys, predicting gravitational lensing signals, and constraining particle physics models of dark matter candidates.

Fun fact

The Milky Way's dark matter halo is not spherical but is flattened and twisted, likely due to interactions with satellite galaxies.

Concept graph →

Formulas

$$\Phi_X = f_X \frac{\rho_{\mathrm{DM}}}{m_X} v_{\mathrm{DM}}$$
Flux of dark matter particles depends on density, mass, and velocity.
What is in the formula
Φ_Xvariabledark matter particle flux — particle flux per square metre per second
f_Xvariablefraction of dark matter in the form of particle X — dimensionless
ρ_DMvariabledark matter mass density — mass density kilogram per cubic metre
m_Xvariablemass of the dark matter particle — mass kilogram
v_DMvariabletypical speed of dark matter particles — velocity metre per second
\phi_x=f_x\frac{ρ_{{dm}}}{m_x}v_{{dm}} · 2607.09845
$$b = \sqrt{\frac{\xi_{\rm gal}}{\xi_{\rm DM}}}$$
Bias quantifies how much galaxies cluster relative to dark matter.
What is in the formula
bvariablebias parameter — bias parameter
ξ_galvariablegalaxy two-point correlation function — correlation function
ξ_DMvariabledark matter two-point correlation function — correlation function
√operatortakes the square root of the ratio — square root
b=\sqrt{\frac{\xi_{\rmobs}(r,z)}{\xi_{\rmdm}(r,z)}} · 2606.02773v1
$$C \sim \pi R^2 \frac{\rho_\chi}{m_\chi} v \sigma$$
Rate at which stars capture dark matter depends on density and cross-section.
What is in the formula
Cvariablecapture rate of dark matter particles by the star — capture rate per second
Rvariableradius of the star — radius metre
ρ_χvariablemass density of dark matter in the local environment — mass density kilogram per cubic metre
m_χvariablemass of a single dark matter particle — mass kilogram
vvariabletypical relative speed of dark matter particles with respect to the star — velocity metre per second
σvariablescattering cross-section between dark matter and stellar nucleons — cross section square metre
l_{{peri}}\simπr_*^2\frac{ρ_χ}{m_χ}v_{{peri}}^3p_{{scat}} · 2607.00840
$$\Omega_{\text{DM}} h^2 \propto \frac{\sqrt{\Gamma M_P}}{m_{\phi}^2}$$
Relic abundance from inflaton decay and mass.
What is in the formula
\Omega_{\text{DM}} hvariableDark matter relic density parameter times squared Hubble constant — density parameter
\GammavariableInflaton decay rate — decay rate per second
M_PvariableReduced Planck mass — mass kilogram
m_{\phi}variableMass of the dark matter particle (or inflaton) — mass kilogram
\proptooperatorIndicates direct proportionality — proportionality
\sqrt{}operatorTakes the square root of the argument — square root
y_0\simeq\frac{9\sqrt{π}b}{2}(\frac{5}{2})^{1/4}\frac{g_*^{3/4}}{g_{*s}}\frac{\sqrt{m_p\gamma_φ}}{m_φ^2} · 2607.23200v1

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