Zeldovich approximation
E456144
The Zeldovich approximation is a cosmological model that provides a simple, first-order description of the growth of large-scale structure in the universe by tracking how matter elements move under gravity from initially small density perturbations.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Zeldovich approximation canonical | 1 |
Statements (44)
| Predicate | Object |
|---|---|
| instanceOf |
Lagrangian perturbation theory
ⓘ
cosmological model ⓘ first-order approximation ⓘ |
| appliesTo |
cold dark matter dominated universe
ⓘ
matter-dominated era of the universe ⓘ |
| approximates |
nonlinear gravitational evolution
ⓘ
particle trajectories as straight lines in comoving space with time-dependent amplitude ⓘ |
| assumes |
homogeneous and isotropic background universe
ⓘ
irrotational flow ⓘ pressureless dust matter ⓘ small initial density perturbations ⓘ |
| basedOn |
Lagrangian description of fluid flow
ⓘ
linear theory of gravitational instability ⓘ |
| breaksDownWhen | shell crossing occurs ⓘ |
| describes |
evolution of density perturbations in an expanding universe
ⓘ
growth of large-scale structure in the universe ⓘ trajectories of matter elements under gravity ⓘ |
| field |
astrophysics
ⓘ
gravitational dynamics ⓘ physical cosmology ⓘ |
| formulatedIn | Newtonian cosmology NERFINISHED ⓘ |
| hasLimitation |
does not accurately describe highly nonlinear virialized structures
ⓘ
ignores multistream velocity dispersion after shell crossing ⓘ |
| influenced | development of modern large-scale structure theory ⓘ |
| introducedIn | 1970s ⓘ |
| involves |
eigenvalues of deformation tensor
ⓘ
growth factor of linear perturbations ⓘ |
| namedAfter | Yakov Borisovich Zeldovich NERFINISHED ⓘ |
| predicts |
anisotropic collapse of matter
ⓘ
formation of caustics ⓘ nonlinear mapping from initial to final density field ⓘ pancake-like structures ⓘ |
| relatedTo |
adhesion approximation
ⓘ
cosmic web theory ⓘ higher-order Lagrangian perturbation theory ⓘ linear perturbation theory ⓘ |
| usedFor |
analytical studies of structure formation
ⓘ
initial conditions in N-body simulations ⓘ modeling large-scale structure formation ⓘ understanding cosmic web morphology ⓘ |
| uses |
comoving coordinates
ⓘ
displacement field ⓘ initial density perturbation field ⓘ |
| validWhen | density contrasts are moderate ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.