phenomenon

hubble flow

The uniform expansion of the universe causing galaxies to recede and redshift proportionally to distance.
19 related articles · 6 formulas

Description

The Hubble flow is the large-scale, uniform expansion of the universe in which galaxies recede from each other at speeds proportional to their distance. This relationship, known as Hubble's law, is a direct consequence of space itself stretching, rather than galaxies moving through a static space. The expansion is observed as a systematic redshift of light from distant galaxies, with more distant galaxies appearing to recede faster.

History

Edwin Hubble's 1929 observations of galaxy redshifts and distances established the linear relationship, building on earlier theoretical work by Georges Lemaître and Alexander Friedmann.

How it works

The expansion of space stretches the wavelength of light traveling through it, causing a redshift proportional to the distance traveled. On top of this smooth expansion, galaxies have additional 'peculiar velocities' from local gravitational interactions, which can slightly shift their observed redshift. The Hubble flow provides the cosmic backdrop against which these local motions are measured, allowing astronomers to separate the universe's overall expansion from the gravitational dance of individual galaxies.

In practice

The Hubble flow is the basis for measuring cosmic distances and mapping the large-scale structure of the universe, as well as for calibrating the expansion rate (Hubble constant) used in cosmological models.

Fun fact

The Hubble flow is so uniform that after subtracting local gravitational effects, galaxies in the distant universe recede with a precision that allows cosmologists to measure the expansion rate to within a few percent.

Concept graph →

Formulas

$$H(z) = H_0 \sqrt{\Omega_m (1+z)^3 + \Omega_\Lambda}$$
Hubble parameter changes with redshift due to cosmic expansion.
What is in the formula
H(z)variableHubble parameter at redshift z — hubble parameter kilometre per second per megaparsec
H_0variableHubble constant at present epoch — hubble constant kilometre per second per megaparsec
zvariableCosmological redshift — redshift
Ω_mvariableMatter density parameter — density parameter
Ω_ΛvariableDark energy density parameter — density parameter
√operatorTakes the square root of the enclosed expression — square root
\frac{δh_0}{h_0}=\frac{3}{2}\frac{δz}{1+z_*} · 2607.18528v1
$$v = H d$$
Recessional velocity of galaxies is proportional to their distance.
What is in the formula
vvariableRecessional velocity of a galaxy — velocity metre per second
HvariableHubble parameter (time-dependent) — hubble parameter per second
dvariableProper distance to the galaxy — distance metre
v=h_0d · 2509.09665
v=h_0d · 2601.03347v2
v=h_0d · 2606.22390
v=h_0d · 2606.23869
$$S \propto (1+z)^{-4}$$
Surface brightness decreases with redshift due to expansion.
What is in the formula
SvariableSurface brightness (flux per unit solid angle per unit area) — surface brightness watt per metre squared per steradian
zvariableRedshift — redshift
(1+z)^{-4} · 2604.27867
$$d = \frac{cz}{H_0}$$
Distance is proportional to redshift in Hubble's law.
What is in the formula
dvariabledistance to galaxy — distance metre
cvariablespeed of light — speed metre per second
zvariableredshift — redshift
H_0variableHubble constant — hubble parameter per second
d_l=\frac{cz}{h_0} · 2606.05358v1
$$L = 4\pi D_L^2 F \cdot 10^{0.4 k(\lambda) E(B-V)}$$
Relates observed flux to intrinsic luminosity accounting for distance and extinction.
What is in the formula
LvariableIntrinsic luminosity — luminosity watt
D_LvariableLuminosity distance — photometric distance metre
FvariableObserved flux — flux watt per metre squared
k(λ)variableExtinction curve at wavelength λ — extinction curve
E(B-V)variableColor excess between B and V bands — color excess
πconstantRatio of a circle's circumference to its diameter — pi = 3.14159
l_{{[oiii]}}=4πd_l^2f_{{[oiii]}}*10^{0.4k(λ5007)e(b-v)} · 2606.24684
$$\Phi \propto \frac{1}{d^2}$$
Flux decreases with the square of distance.
What is in the formula
\Phivariableflux (power per unit area) — irradiance watt per square metre
dvariabledistance from source — distance metre
\phi_0^s\approx1.7*10^{-20}(\frac{α_g}{0.1})^5(\frac{\tilde{a}}{0.9})(\frac{10^{-4}}{g_{νφ}})^2(\frac{5~{кпк}}{d})^2~{см}^{-2}{с}^{-1} · 2607.12485

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