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