FLRW cosmological models

E1311

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.

AI illustration

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AI-generated illustration of FLRW cosmological models

This AI-generated illustration was produced by black-forest-labs/FLUX.2-dev (1024x1024) from a prompt written by openai/gpt-oss-120b from the entity's label + description.

Prompt

Generate an image of 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.)

All labels observed (20)

How this entity was disambiguated

Statements (51)

Predicate Object
instanceOf cosmological model ⓘ
homogeneous cosmological model ⓘ
isotropic cosmological model ⓘ
solution to Einstein field equations ⓘ
spacetime metric ⓘ
spacetime metric ⓘ
allowsSpatialCurvature negative curvature ⓘ
positive curvature ⓘ
zero curvature ⓘ
approximates large-scale structure of the universe ⓘ
assumes cosmological principle ⓘ
large-scale homogeneity ⓘ
large-scale isotropy ⓘ
basedOnTheory general relativity ⓘ
compatibleWith cosmic microwave background isotropy ⓘ
definedOn four-dimensional spacetime ⓘ
describes contracting universe ⓘ
expanding universe ⓘ
homogeneous universe ⓘ
isotropic universe ⓘ
fullName Friedmann–Lemaître–Robertson–Walker cosmological models ⓘ
governedBy Friedmann equations ⓘ
hasLimitation assumes perfect fluid description of matter ⓘ
neglects small-scale inhomogeneities ⓘ
hasMetric FLRW metric ⓘ
historicalDevelopment first solutions found by Alexander Friedmann in the 1920s ⓘ
general form clarified by Robertson and Walker in the 1930s ⓘ
implies Hubble–Lemaître law on large scales ⓘ
includes cosmic time coordinate ⓘ
scale factor ⓘ
spatial curvature parameter ⓘ
includesComponent baryonic matter ⓘ
dark energy ⓘ
dark matter ⓘ
radiation ⓘ
includesParameter cosmological constant ⓘ
namedAfter Alexander Friedmann ⓘ
Arthur Geoffrey Walker ⓘ
Georges Lemaître ⓘ
Howard P. Robertson ⓘ
predicts cosmic expansion history ⓘ
time-dependent scale factor ⓘ
spatialSections 3-sphere ⓘ
Euclidean 3-space ⓘ
hyperbolic 3-space ⓘ
usedIn standard model of cosmology ⓘ
ΛCDM model ⓘ
usedToInfer age of the universe ⓘ
cosmological distance–redshift relations ⓘ
critical density of the universe ⓘ
validAtScale cosmological scales ⓘ

How these facts were elicited

Referenced by (54)

Full triples — surface form annotated when it differs from this entity's canonical label.

Oppenheimer–Snyder model → usesMetric → Friedmann–Lemaître–Robertson–Walker metric ⓘ
linked to: FLRW cosmological models
Oppenheimer–Snyder model → relatedTo → FLRW cosmological models ⓘ
FLRW cosmological models → fullName → Friedmann–Lemaître–Robertson–Walker cosmological models ⓘ
linked to: FLRW cosmological models
FLRW cosmological models → hasMetric → FLRW metric ⓘ
linked to: FLRW cosmological models
Einstein field equations → admitsSolution → Friedmann–Lemaître–Robertson–Walker metric ⓘ
linked to: FLRW cosmological models
de Sitter spacetime → hasMetricType → Friedmann–Lemaître–Robertson–Walker metric (special case) ⓘ
linked to: FLRW cosmological models
Arthur Geoffrey Walker → notableWork → Friedmann–Lemaître–Robertson–Walker metric ⓘ
linked to: FLRW cosmological models
Arthur Geoffrey Walker → notableWork → Robertson–Walker metric ⓘ
linked to: FLRW cosmological models
Arthur Geoffrey Walker → notableConcept → Friedmann–Lemaître–Robertson–Walker cosmological model ⓘ
linked to: FLRW cosmological models
Alexander Friedmann → knownFor → Friedmann equations ⓘ
linked to: FLRW cosmological models
Howard P. Robertson → notableWork → Robertson–Walker metric ⓘ
linked to: FLRW cosmological models
Howard P. Robertson → notableWork → Friedmann–Lemaître–Robertson–Walker metric ⓘ
linked to: FLRW cosmological models
Howard P. Robertson → notableWork → Robertson–Walker cosmological models ⓘ
linked to: FLRW cosmological models
general relativity → includes → Friedmann–Lemaître–Robertson–Walker metric ⓘ
linked to: FLRW cosmological models
Big Bang → basedOn → Friedmann–Lemaître–Robertson–Walker metric ⓘ
linked to: FLRW cosmological models
Penrose–Carter diagram → appliesTo → Friedmann–Lemaître–Robertson–Walker cosmologies ⓘ
subject linked to: Penrose–Carter diagrams
linked to: FLRW cosmological models
On the Curvature of Space → proposedModel → Friedmann–Lemaître–Robertson–Walker metric ⓘ
linked to: FLRW cosmological models
On the Curvature of Space → proposedModel → Friedmann cosmological models ⓘ
linked to: FLRW cosmological models
Big Bang cosmology → basedOn → Friedmann–Lemaître–Robertson–Walker metric ⓘ
linked to: FLRW cosmological models
hypothesis of the primeval atom → associatedWith → Lemaître’s expanding universe solution ⓘ
linked to: FLRW cosmological models
Lemaître–Hubble law → relatedTo → Friedmann–Lemaître–Robertson–Walker metric ⓘ
linked to: FLRW cosmological models
Lemaître–Hubble law → relatedTo → Friedmann equations ⓘ
linked to: FLRW cosmological models
Gödel metric → contrastsWith → Friedmann–Lemaître–Robertson–Walker metric ⓘ
linked to: FLRW cosmological models
Lemaître–Tolman metric → generalizes → Friedmann–Lemaître–Robertson–Walker metric ⓘ
linked to: FLRW cosmological models
Lambda-CDM model → basedOn → Friedmann–Lemaître–Robertson–Walker metric ⓘ
linked to: FLRW cosmological models
Gravitation (with Charles Misner and Kip Thorne) → covers → Friedmann–Lemaître–Robertson–Walker cosmological models ⓘ
linked to: FLRW cosmological models
Tolman surface brightness test → basedOn → Friedmann–Lemaître–Robertson–Walker metric ⓘ
linked to: FLRW cosmological models
Gravitation and Cosmology → subject → Friedmann–Robertson–Walker cosmology ⓘ
linked to: FLRW cosmological models
Planck temperature → usedIn → Big Bang models ⓘ
linked to: FLRW cosmological models
American school of relativistic cosmology → relatedTo → Friedmann–Lemaître–Robertson–Walker metric ⓘ
linked to: FLRW cosmological models
Bardeen potential → appliesTo → Friedmann–Lemaître–Robertson–Walker metric ⓘ
linked to: FLRW cosmological models
Principles of Physical Cosmology → topic → Friedmann–Robertson–Walker models ⓘ
linked to: FLRW cosmological models
Weyl tensor → vanishesIn → Friedmann–Lemaître–Robertson–Walker spacetimes ⓘ
linked to: FLRW cosmological models
Rubin–Ford effect → cosmologicalContext → Friedmann–Lemaître–Robertson–Walker cosmology ⓘ
linked to: FLRW cosmological models
Einstein static universe → relatedTo → Friedmann–Lemaître–Robertson–Walker metric ⓘ
linked to: FLRW cosmological models
Einstein static universe → specialCaseOf → FLRW cosmological models ⓘ
chaotic inflation → mathematicalFramework → Friedmann–Lemaître–Robertson–Walker cosmology ⓘ
linked to: FLRW cosmological models
Bianchi type cosmologies → relatedTo → Friedmann–Lemaître–Robertson–Walker cosmology ⓘ
linked to: FLRW cosmological models
Bianchi type cosmologies → generalizes → Friedmann–Lemaître–Robertson–Walker cosmology ⓘ
linked to: FLRW cosmological models
Hubble constant → isParameterOf → Friedmann–Lemaître–Robertson–Walker cosmology ⓘ
subject linked to: Hubble constant H₀
linked to: FLRW cosmological models
Zeldovich approximation → context → Friedmann–Lemaître–Robertson–Walker cosmology ⓘ
linked to: FLRW cosmological models
LTB metric → generalizes → Friedmann–Lemaître–Robertson–Walker metric ⓘ
linked to: FLRW cosmological models
Etherington reciprocity theorem → appliesTo → Friedmann–Lemaître–Robertson–Walker cosmologies ⓘ
linked to: FLRW cosmological models
Hubble–Humason galaxy redshift measurements → relatedTo → Friedmann–Lemaître–Robertson–Walker cosmology ⓘ
linked to: FLRW cosmological models
Cosmology (Steven Weinberg) → subject → Friedmann–Robertson–Walker cosmology ⓘ
linked to: FLRW cosmological models
Starobinsky R^2 inflation model → assumes → Friedmann–Lemaître–Robertson–Walker metric ⓘ
linked to: FLRW cosmological models
Big Crunch scenario → relatedTo → Friedmann–Lemaître–Robertson–Walker cosmologies ⓘ
linked to: FLRW cosmological models
Big Crunch scenario → analyzedUsing → Friedmann equations ⓘ
linked to: FLRW cosmological models
The Large Scale Structure of Space-Time → hasSubject → Friedmann–Lemaître–Robertson–Walker models ⓘ
linked to: FLRW cosmological models
Milne universe model → isSolutionOf → Friedmann equations ⓘ
linked to: FLRW cosmological models