constant

hubble constant

The Hubble constant measures the rate of expansion of the universe.
Value
\(H_{0} = 2.2 \times 10^{-18}\)per second
39 related articles · 6 formulas

Description

The Hubble constant (H₀) is the current rate at which the universe is expanding, expressed as velocity per unit distance (typically kilometers per second per megaparsec). It is a fundamental parameter in cosmology, setting the scale, age, and fate of the universe. The constant is named after Edwin Hubble, who in 1929 observed that galaxies recede from us at speeds proportional to their distance, though the modern value is derived from a variety of cosmic probes.

History

Edwin Hubble first measured the expansion rate in 1929, but the modern value has been refined over decades. The current tension between measurements from the CMB (Planck satellite) and local distance ladder (e.g., SH0ES team) is a major open problem in cosmology.

How it works

The expansion is measured by observing how the redshift of light from distant objects increases with distance. Astronomers calibrate this relationship using 'standard candles' (like Cepheid variables or Type Ia supernovae) to measure distances, and then compare those distances to the recession velocities inferred from redshift. The slope of the velocity-distance relation gives H₀. Alternatively, the constant can be derived from the cosmic microwave background (CMB) by fitting a cosmological model that includes dark energy and dark matter, yielding a slightly different value.

In practice

The Hubble constant is used to convert redshifts into distances for galaxy surveys, essential for mapping the large-scale structure of the universe and studying dark energy.

Fun fact

The Hubble constant is not constant over time; it changes as the universe's expansion rate evolves, so the 'constant' refers specifically to its value today.

Concept graph →

Formulas

$$t_H \approx \frac{1}{H}$$
The characteristic expansion time of the universe.
What is in the formula
t_HvariableHubble time — time second
HvariableHubble parameter — hubble parameter per second
τ_{cosm}\approx0.5(\frac{1{мэв}}{t})^2{сек} · 2606.03316v2
$$\rho_{\rm vac}(H) = \rho_{\rm vac}^0 + \frac{3\nu}{8\pi G}(H^2 - H_0^2)$$
Vacuum energy density evolves with Hubble parameter squared.
What is in the formula
ρ_vacvariablevacuum energy density — energy density joule per cubic metre
HvariableHubble parameter — hubble parameter per second
ρ_vac^0variablecurrent vacuum energy density — energy density joule per cubic metre
H_0variablecurrent Hubble parameter — hubble parameter per second
νvariablerunning coefficient
GconstantNewton's constant governing gravitational strength — gravitational constant = 6.67430e-11 cubic metre per kilogram per second squared
ρ_{\rmvac}(h)\simeqρ_{\rmvac}^0+\frac{3ν_{\rmeff}}{8πg_{\rmn}}(h^2-h_0^2) · 2606.05352v2
$$N(s) \le C^s$$
A quantity grows at most exponentially with rate C.
What is in the formula
Nvariablea quantity that grows with parameter s
svariablea non-negative integer or real parameter indexing the growth
Cvariablea positive constant bounding the growth rate
n(s)\lea^s · 2607.00963
$$\epsilon = -\frac{\dot{H}}{H^2}$$
Measures the rate of change of the Hubble parameter during inflation.
What is in the formula
\epsilonvariableFirst slow-roll parameter — slow roll parameter
HvariableHubble parameter — hubble parameter per second
\dot{H}variableTime derivative of Hubble parameter — hubble parameter time derivative per second squared
\dot{}operatorDerivative with respect to cosmic time — time derivative
ε=-\frac{\dot{h}}{h^2} · 2607.06582
$$\Omega h^{3/2}$$
Combination of density parameter and Hubble constant.
What is in the formula
\OmegavariableDensity parameter (total energy density relative to critical) — density parameter
hvariableDimensionless Hubble constant (H0/100 km/s/Mpc) — hubble constant dimensionless
ω_mh^{3/2} · 2607.24694v1
$$A_s \propto \left( \frac{\Gamma^{1/4}}{H} \right)^{-5/3}$$
The amplitude of primordial perturbations scales with the ratio of tunneling rate to Hubble parameter.
What is in the formula
A_svariableamplitude of primordial scalar perturbations — scalar perturbation amplitude
Γvariabletunneling rate (per unit volume per unit time) — tunneling rate metre per second per cubic metre
HvariableHubble parameter during inflation — hubble parameter per second
∝operatoris proportional to — proportionality
a_s=0.06(\frac{\gamma^{1/4}_*}{h_*})^{-5/3} · 2607.27193v1

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