Zeldovich approximation in large-scale structure formation
E456146
The Zeldovich approximation in large-scale structure formation is a seminal analytical model in cosmology that predicts how small initial density perturbations in the early universe evolve into the cosmic web of sheets, filaments, and clusters of galaxies.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Zeldovich approximation in large-scale structure formation canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T4612421 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Zeldovich approximation in large-scale structure formation Context triple: [Yakov Borisovich Zeldovich, knownFor, Zeldovich approximation in large-scale structure formation]
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A.
The Large-Scale Structure of the Universe
The Large-Scale Structure of the Universe is a foundational cosmology book by James Peebles that systematically develops the theory and observations of how matter is distributed on the largest cosmic scales.
-
B.
Principles of Physical Cosmology
Principles of Physical Cosmology is a foundational textbook that systematically develops the theoretical framework and observational basis of modern cosmology, including the Big Bang model, structure formation, and the large-scale properties of the universe.
-
C.
The Expanding Universe
"The Expanding Universe" is a chapter in Stephen Hawking’s popular science book *A Brief History of Time* that explains how observations and cosmological theory reveal that the universe is growing larger over time.
-
D.
Zwicky catalog of galaxies
The Zwicky catalog of galaxies is an influential astronomical catalog compiled by Swiss astronomer Fritz Zwicky that systematically lists and classifies thousands of galaxies and galaxy clusters.
-
E.
FLRW cosmological models
FLRW cosmological models are a family of solutions to Einstein’s field equations that describe a homogeneous and isotropic expanding or contracting universe, forming the standard framework for modern cosmology.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Zeldovich approximation in large-scale structure formation Target entity description: The Zeldovich approximation in large-scale structure formation is a seminal analytical model in cosmology that predicts how small initial density perturbations in the early universe evolve into the cosmic web of sheets, filaments, and clusters of galaxies.
-
A.
The Large-Scale Structure of the Universe
The Large-Scale Structure of the Universe is a foundational cosmology book by James Peebles that systematically develops the theory and observations of how matter is distributed on the largest cosmic scales.
-
B.
Principles of Physical Cosmology
Principles of Physical Cosmology is a foundational textbook that systematically develops the theoretical framework and observational basis of modern cosmology, including the Big Bang model, structure formation, and the large-scale properties of the universe.
-
C.
The Expanding Universe
"The Expanding Universe" is a chapter in Stephen Hawking’s popular science book *A Brief History of Time* that explains how observations and cosmological theory reveal that the universe is growing larger over time.
-
D.
Zwicky catalog of galaxies
The Zwicky catalog of galaxies is an influential astronomical catalog compiled by Swiss astronomer Fritz Zwicky that systematically lists and classifies thousands of galaxies and galaxy clusters.
-
E.
FLRW cosmological models
FLRW cosmological models are a family of solutions to Einstein’s field equations that describe a homogeneous and isotropic expanding or contracting universe, forming the standard framework for modern cosmology.
- F. None of above. chosen
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
Lagrangian perturbation theory
ⓘ
analytical model in cosmology ⓘ approximation method ⓘ |
| approximationOrder | first-order Lagrangian perturbation theory ⓘ |
| assumes |
growing mode of linear perturbations dominates
ⓘ
irrotational flow ⓘ pressureless dust (cold dark matter) fluid ⓘ |
| basedOn |
Lagrangian description of fluid elements
ⓘ
linear theory of gravitational instability ⓘ |
| captures |
anisotropic deformation of matter elements
ⓘ
large-scale bulk flows ⓘ |
| comparedTo | second-order Lagrangian perturbation theory (2LPT) ⓘ |
| context |
Friedmann–Lemaître–Robertson–Walker cosmology
ⓘ
linked to:
FLRW cosmological models
|
| describes |
evolution of small initial density perturbations
ⓘ
formation of clusters of galaxies ⓘ formation of filaments in the matter distribution ⓘ formation of sheets (pancakes) in the matter distribution ⓘ formation of the cosmic web ⓘ |
| failsToCapture |
multi-stream dynamics after strong shell crossing
ⓘ
virialization of collapsed structures ⓘ |
| field |
cosmology
ⓘ
large-scale structure formation ⓘ physical cosmology ⓘ |
| historicalSignificance | seminal model in large-scale structure theory ⓘ |
| improvesUpon | linear perturbation theory for density evolution ⓘ |
| inspired |
adhesion approximation
ⓘ
higher-order Lagrangian perturbation theory ⓘ |
| introducedInContextOf | early universe structure formation ⓘ |
| lessAccurateInRegime | strongly non-linear regime after shell crossing ⓘ |
| mathematicalForm | x(q,a) = q + D(a) s(q) ⓘ |
| namedAfter | Yakov Borisovich Zeldovich ⓘ |
| predicts |
anisotropic collapse of structures
ⓘ
formation of caustics where particle trajectories cross ⓘ pancake-like caustics ⓘ particle trajectories as straight lines in comoving space ⓘ |
| relatedTo |
Gaussian initial conditions
ⓘ
cold dark matter paradigm ⓘ power spectrum of initial density fluctuations ⓘ |
| spaceDependence | displacement direction set by initial potential gradient ⓘ |
| timeDependence | displacement grows proportionally to linear growth factor ⓘ |
| usedFor |
analytical insight into gravitational collapse
ⓘ
generating initial conditions for N-body simulations ⓘ modeling cosmic web morphology ⓘ studying large-scale structure statistics ⓘ |
| uses |
Lagrangian coordinates
ⓘ
comoving coordinates ⓘ displacement field formalism ⓘ |
| validInRegime | mildly non-linear structure formation ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Zeldovich approximation in large-scale structure formation Description of subject: The Zeldovich approximation in large-scale structure formation is a seminal analytical model in cosmology that predicts how small initial density perturbations in the early universe evolve into the cosmic web of sheets, filaments, and clusters of galaxies.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.
Yakov Borisovich Zeldovich
→
knownFor
→
Zeldovich approximation in large-scale structure formation
ⓘ