Bianchi type cosmologies

E446863
anisotropic cosmology cosmological model solution of Einstein field equations spatially homogeneous cosmology

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.

Jump to: Surface forms Statements Referenced by

Observed surface forms (11)

Surface form Occurrences
Bianchi cosmological models 1
Bianchi type I 1
Bianchi type II 1

Statements (48)

Predicate Object
instanceOf anisotropic cosmology ⓘ
cosmological model ⓘ
solution of Einstein field equations ⓘ
spatially homogeneous cosmology ⓘ
appliesTo general relativity NERFINISHED ⓘ
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 NERFINISHED ⓘ
describes spacetimes with homogeneous spatial sections ⓘ
generalizes Friedmann–Lemaître–Robertson–Walker cosmology NERFINISHED ⓘ
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 NERFINISHED ⓘ
Bianchi class B models NERFINISHED ⓘ
Bianchi type I cosmology NERFINISHED ⓘ
Bianchi type II cosmology NERFINISHED ⓘ
Bianchi type III cosmology NERFINISHED ⓘ
Bianchi type IV cosmology NERFINISHED ⓘ
Bianchi type IX cosmology ⓘ
Bianchi type V cosmology NERFINISHED ⓘ
Bianchi type VI cosmology ⓘ
Bianchi type VII cosmology NERFINISHED ⓘ
Bianchi type VIII cosmology NERFINISHED ⓘ
namedAfter Luigi Bianchi NERFINISHED ⓘ
relatedTo Friedmann–Lemaître–Robertson–Walker cosmology NERFINISHED ⓘ
Kasner solution NERFINISHED ⓘ
Mixmaster universe NERFINISHED ⓘ
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 NERFINISHED ⓘ
isotropy of the universe ⓘ
uses Lie algebra of Killing vector fields ⓘ

Referenced by (12)

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

Bianchi classification → includesType → Bianchi type cosmologies ⓘ
this entity surface form: Bianchi type I
Bianchi classification → includesType → Bianchi type cosmologies ⓘ
this entity surface form: Bianchi type II
Bianchi classification → includesType → Bianchi type cosmologies ⓘ
this entity surface form: Bianchi type III
Bianchi classification → includesType → Bianchi type cosmologies ⓘ
this entity surface form: Bianchi type IV
Bianchi classification → includesType → Bianchi type cosmologies ⓘ
this entity surface form: Bianchi type V
Bianchi classification → includesType → Bianchi type cosmologies ⓘ
this entity surface form: Bianchi type VII
Bianchi classification → includesType → Bianchi type cosmologies ⓘ
this entity surface form: Bianchi type VIII
Bianchi classification → includesType → Bianchi type cosmologies ⓘ
this entity surface form: Bianchi type IX
Charles Misner → knownFor → Bianchi type cosmologies ⓘ
this entity surface form: Mixmaster universe model
Charles Misner → notableConcept → Bianchi type cosmologies ⓘ
this entity surface form: Mixmaster universe
Gödel metric → relatedTo → Bianchi type cosmologies ⓘ
Bianchi classification → usedIn → Bianchi type cosmologies ⓘ
this entity surface form: Bianchi cosmological models