concept

redshift

Redshift is the phenomenon where light from distant galaxies shifts to longer wavelengths due to the expansion of the universe.
35 related articles · 6 formulas · 6 who worked here

Description

When an ambulance passes by, its siren changes tone: higher when approaching, lower when receding. The same happens with light from distant galaxies: if a galaxy is moving away, its light becomes slightly redder — this is redshift. The faster the galaxy recedes, the stronger the shift.

History

The idea of an expanding Universe arose from Friedmann's equations (1922) and Georges Lemaître's observations (1927), but gained wide acceptance after Edwin Hubble's work (1929) showing a linear relationship between redshift and distance. Lemaître was the first to interpret this as an expansion of space. Later, measurements of type Ia supernovae in 1998 led to the discovery of accelerated expansion (dark energy).

How it works

Redshift is measured spectroscopically: lines of known elements (e.g., hydrogen) are shifted by a factor (1+z). The Hubble law v = H₀ d relates recession velocity and distance. For large z, the relationship becomes nonlinear and is determined by the cosmological model. Peculiar velocities of galaxies make an additional, often negligible contribution. There is also gravitational redshift, predicted by General Relativity: photons lose energy when escaping a gravitational well. Redshift measurements rely on the Doppler effect and Hubble's law.

Fun fact

Thanks to redshift we know the Universe is expanding. Edwin Hubble noticed that almost all galaxies are redshifted, and the farther they are, the redder they appear.

Concept graph →

Formulas

$$\Delta z = \frac{v}{c}$$
Relates redshift to line-of-sight velocity.
What is in the formula
Δzvariableredshift change — redshift
vvariableline-of-sight velocity — velocity metre per second
cvariablespeed of light — speed of light metre per second
δz=\frac{1}{c}|\sum_{β=1}^{n}σ_βv^{1d}_β| · 2601.06589
$$S \propto (1+z)^{-4}$$
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
$$(1+z_{\text{obs}}) = (1+z_1)(1+z_2)$$
Observed redshift is the product of component redshifts.
What is in the formula
z_obsvariableobserved total redshift — redshift
z_1variablefirst component redshift — redshift
z_2variablesecond component redshift — redshift
(1+z_{{obs}})=(1+z_\lambda)(1+z_q) · 2606.02097v1
$$z \approx \frac{v}{c}$$
Approximates cosmological redshift from radial velocity at low z.
What is in the formula
zvariableRedshift (fractional change in wavelength) — redshift
vvariableRadial velocity (recession speed) — velocity metre per second
cvariableSpeed of light in vacuum — speed of light metre per second
z\approx\frac{v}{c} · 2606.25022
$$1+z = \frac{\lambda_{\text{obs}}}{\lambda_{\text{em}}}}$$
Redshift defined as observed wavelength over emitted wavelength.
What is in the formula
zvariableredshift parameter — redshift
λ_obsvariableobserved wavelength — wavelength metre
λ_emvariableemitted wavelength — wavelength metre
1+z=\frac{λ_{obs}}{λ_{em}} · 2607.14525
$$1+z = rac{1}{ rac{ ext{v}}{c} ext{cos} heta ext{ sign} ext{ adjusted}}$$
Redshift due to relative motion between observer and source.
What is in the formula
zvariableredshift parameter — redshift
vvariablerelative velocity between source and observer — velocity metre per second
θvariableangle between velocity vector and line of sight — angle radian
cconstantspeed of light in vacuum — speed of light = 299792458 metre per second
cosoperatortrigonometric cosine function — cosine
1+z_{\odot}=\sqrt{\frac{1-β}{1+β}},\quadβ=\frac{v}{c}\cosθ · 2605.03004v1

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