Milne universe model
E818283
The Milne universe model is a cosmological model that describes an empty, expanding universe with negative spatial curvature, serving as a special-relativistic alternative to general relativistic cosmologies.
Observed surface forms (1)
| Surface form | Occurrences |
|---|---|
| Milne universe | 1 |
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
Friedmann–Lemaître–Robertson–Walker model
ⓘ
cosmological model ⓘ |
| assumes |
no dark energy
ⓘ
no dark matter ⓘ no matter ⓘ no radiation ⓘ |
| basedOn | special relativity NERFINISHED ⓘ |
| belongsTo | kinematic relativity theory NERFINISHED ⓘ |
| describes |
empty universe
ⓘ
expanding universe ⓘ |
| hasCosmologicalConstant | zero ⓘ |
| hasCurvatureParameter | k = -1 ⓘ |
| hasDecelerationParameter | q = 0 ⓘ |
| hasEnergyDensity | zero ⓘ |
| hasGlobalGeometry | portion of Minkowski spacetime foliated by expanding hyperbolic slices ⓘ |
| hasHubbleParameter | H(t) = 1/t ⓘ |
| hasMatterContent | zero ⓘ |
| hasMetric | ds² = dt² − t²[dχ² + sinh²χ(dθ² + sin²θ dφ²)] ⓘ |
| hasRedshiftOrigin | kinematic expansion GENERATED ⓘ |
| hasScaleFactor | a(t) ∝ t ⓘ |
| hasSpatialCurvature | negative ⓘ |
| hasSpatialGeometry | hyperbolic ⓘ |
| hasSpatialTopology | open ⓘ |
| hasStatus | historical and pedagogical interest ⓘ |
| hasSymmetry |
spatial homogeneity
ⓘ
spatial isotropy ⓘ |
| hasTotalDensityParameter | Ω = 0 ⓘ |
| isAlternativeTo |
Einstein–de Sitter universe
NERFINISHED
ⓘ
general relativistic cosmologies ⓘ ΛCDM model NERFINISHED ⓘ |
| isConformallyRelatedTo | Minkowski metric in spherical Rindler-like coordinates ⓘ |
| isInconsistentWith |
observed matter content of the universe
ⓘ
precision cosmological observations ⓘ |
| isLimitCaseOf | open FLRW universe with vanishing density ⓘ |
| isSolutionOf | Friedmann equations NERFINISHED ⓘ |
| isUsedAs |
counterexample to necessity of gravity for expansion
ⓘ
pedagogical example in cosmology ⓘ |
| namedAfter | Edward Arthur Milne NERFINISHED ⓘ |
| neglects | self-gravity of matter ⓘ |
| predicts |
age of universe equal to 1/H₀
ⓘ
linear Hubble law ⓘ no gravitational deceleration of expansion ⓘ |
| proposedIn | 1930s ⓘ |
| satisfies |
Friedmann equations with ρ = 0 and Λ = 0
ⓘ
cosmological principle in comoving coordinates ⓘ |
| usesCoordinates | Milne coordinates ⓘ |
| usesSpacetime | Minkowski spacetime NERFINISHED ⓘ |
| wasProposedBy | Edward Arthur Milne NERFINISHED ⓘ |
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Milne universe