Bianchi type cosmologies

E446863

Bianchi type cosmologies are a class of spatially homogeneous but generally anisotropic cosmological models that classify possible three-dimensional Lie group symmetries of spacetime in general relativity.

All labels observed (19)

How this entity was disambiguated

Statements (48)

Predicate Object
instanceOf anisotropic cosmology
cosmological model
solution of Einstein field equations
spatially homogeneous cosmology
appliesTo general relativity
basedOn three-dimensional Lie groups
canInclude cosmological constant
perfect fluid matter content
scalar field matter content
characterizedBy constant-time hypersurfaces with group symmetry
structure constants of a three-dimensional Lie algebra
classifiedBy Bianchi classification
describes spacetimes with homogeneous spatial sections
generalizes Friedmann–Lemaître–Robertson–Walker cosmology
hasMathematicalFramework Hamiltonian formulation of cosmology
orthonormal frame formalism
hasProperty group-invariant spatial hypersurfaces
possible anisotropy
spatial homogeneity
three-dimensional isometry group acting transitively on spatial slices
hasSubset diagonal Bianchi models
locally rotationally symmetric Bianchi models
non-tilted Bianchi models
tilted Bianchi models
includes Bianchi class A models
linked to: Bianchi class A

Bianchi class B models
linked to: Bianchi class B

Bianchi type I cosmology
Bianchi type II cosmology
Bianchi type III cosmology
Bianchi type IV cosmology
Bianchi type IX cosmology
Bianchi type V cosmology
Bianchi type VI cosmology
Bianchi type VII cosmology
Bianchi type VIII cosmology
namedAfter Luigi Bianchi
relatedTo Friedmann–Lemaître–Robertson–Walker cosmology
Kasner solution
Mixmaster universe
studiedIn mathematical cosmology
relativistic cosmology
usedIn dynamical systems approach to cosmology
study of cosmic microwave background anomalies
study of cosmological singularities
study of early universe anisotropies
usedToTest cosmic no-hair conjecture
isotropy of the universe
uses Lie algebra of Killing vector fields

How these facts were elicited

Referenced by (21)

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

Gödel metric relatedTo Bianchi type cosmologies
Charles Misner notableConcept Mixmaster universe
linked to: Bianchi type cosmologies
Charles Misner knownFor Mixmaster universe model
linked to: Bianchi type cosmologies
Bianchi classification includesType Bianchi type I
linked to: Bianchi type cosmologies
Bianchi classification includesType Bianchi type II
linked to: Bianchi type cosmologies
Bianchi classification includesType Bianchi type III
linked to: Bianchi type cosmologies
Bianchi classification includesType Bianchi type IV
linked to: Bianchi type cosmologies
Bianchi classification includesType Bianchi type V
linked to: Bianchi type cosmologies
Bianchi classification includesType Bianchi type VII
linked to: Bianchi type cosmologies
Bianchi classification includesType Bianchi type VIII
linked to: Bianchi type cosmologies
Bianchi classification includesType Bianchi type IX
linked to: Bianchi type cosmologies
Bianchi classification usedIn Bianchi cosmological models
linked to: Bianchi type cosmologies
Bianchi type cosmologies includes Bianchi type I cosmology
linked to: Bianchi type cosmologies
Bianchi type cosmologies includes Bianchi type II cosmology
linked to: Bianchi type cosmologies
Bianchi type cosmologies includes Bianchi type III cosmology
linked to: Bianchi type cosmologies
Bianchi type cosmologies includes Bianchi type IV cosmology
linked to: Bianchi type cosmologies
Bianchi type cosmologies includes Bianchi type V cosmology
linked to: Bianchi type cosmologies
Bianchi type cosmologies includes Bianchi type VII cosmology
linked to: Bianchi type cosmologies
Bianchi type cosmologies includes Bianchi type VIII cosmology
linked to: Bianchi type cosmologies
Bianchi type cosmologies relatedTo Mixmaster universe
linked to: Bianchi type cosmologies
Nil geometry hasBianchiType Bianchi type II
linked to: Bianchi type cosmologies