FLRW cosmological models

E1311

cosmological model homogeneous cosmological model isotropic cosmological model solution to Einstein field equations spacetime metric

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.

Aliases (11)

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 →

Referenced by (22)

Subject (surface form when different)	Predicate
Arthur Geoffrey Walker ("Friedmann–Lemaître–Robertson–Walker metric") → Arthur Geoffrey Walker ("Robertson–Walker metric") → Howard P. Robertson ("Robertson–Walker metric") → Howard P. Robertson ("Friedmann–Lemaître–Robertson–Walker metric") → Howard P. Robertson ("Robertson–Walker cosmological models") →	notableWork
Lemaître–Hubble law ("Friedmann–Lemaître–Robertson–Walker metric") → Lemaître–Hubble law ("Friedmann equations") → Oppenheimer–Snyder model →	relatedTo
Big Bang ("Friedmann–Lemaître–Robertson–Walker metric") → Big Bang cosmology ("Friedmann–Lemaître–Robertson–Walker metric") →	basedOn
On the Curvature of Space ("Friedmann–Lemaître–Robertson–Walker metric") → On the Curvature of Space ("Friedmann cosmological models") →	proposedModel
Einstein field equations ("Friedmann–Lemaître–Robertson–Walker metric") →	admitsSolution
Penrose–Carter diagram ("Friedmann–Lemaître–Robertson–Walker cosmologies") →	appliesTo
hypothesis of the primeval atom ("Lemaître’s expanding universe solution") →	associatedWith
FLRW cosmological models ("Friedmann–Lemaître–Robertson–Walker cosmological models") →	fullName
FLRW cosmological models ("FLRW metric") →	hasMetric
de Sitter spacetime ("Friedmann–Lemaître–Robertson–Walker metric (special case)") →	hasMetricType
general relativity ("Friedmann–Lemaître–Robertson–Walker metric") →	includes
Alexander Friedmann ("Friedmann equations") →	knownFor
Arthur Geoffrey Walker ("Friedmann–Lemaître–Robertson–Walker cosmological model") →	notableConcept
Oppenheimer–Snyder model ("Friedmann–Lemaître–Robertson–Walker metric") →	usesMetric