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.

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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

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Referenced by (37)

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