de Sitter spacetime
E7354
maximally symmetric spacetime
solution of Einstein field equations
spacetime geometry
vacuum solution with cosmological constant
de Sitter spacetime is a maximally symmetric, curved solution of general relativity that models an expanding universe dominated by a positive cosmological constant (dark energy).
Aliases (6)
Statements (50)
| Predicate | Object |
|---|---|
| instanceOf |
maximally symmetric spacetime
→
solution of Einstein field equations → spacetime geometry → vacuum solution with cosmological constant → |
| approximates |
late-time dark-energy-dominated universe
→
|
| canBeRepresentedAs |
hyperboloid embedded in 5D Minkowski space
→
|
| hasConstant |
Hubble parameter H
→
|
| hasCoordinateSystems |
flat slicing coordinates
→
global coordinates → open slicing coordinates → static coordinates → |
| hasCosmologicalConstantSign |
positive
→
|
| hasCosmologicalConstantSymbol |
Λ
→
|
| hasCosmologicalScaleFactor |
exponential expansion
→
|
| hasCurvature |
constant positive curvature
→
|
| hasCurvatureInvariants |
constant
→
|
| hasDimension |
4
→
|
| hasEmbeddingSpace |
5-dimensional Minkowski space
→
|
| hasEnergyContent |
vacuum energy
→
|
| hasEntropy |
horizon entropy
→
|
| hasEquationOfStateParameter |
w = -1
→
|
| hasEventHorizon |
cosmological horizon
→
|
| hasGeneralization |
n-dimensional de Sitter spacetime
→
|
| hasHorizonType |
observer-dependent cosmological horizon
→
|
| hasIsometryGroup |
SO(1,4)
→
|
| hasLimitCase |
Minkowski spacetime for Λ → 0
→
|
| hasMetricType |
Friedmann–Lemaître–Robertson–Walker metric (special case)
→
|
| hasNumberOfKillingVectors |
10
→
|
| hasPetrovType |
O
→
|
| hasRicciTensor |
proportional to metric tensor
→
|
| hasScalarCurvature |
constant positive value
→
|
| hasScaleFactorForm |
a(t) ∝ e^{Ht}
→
|
| hasSymmetryGroup |
SO(1,4)
→
|
| hasTemperature |
Gibbons–Hawking temperature
→
|
| hasTopology |
R × S^3 (in global coordinates)
→
|
| hasWeylTensor |
zero
→
|
| isConformallyFlat |
true
→
|
| isContrastedWith |
anti-de Sitter spacetime
→
|
| isDominatedBy |
cosmological constant
→
dark energy → |
| isGeodesicallyComplete |
true
→
|
| isHomogeneous |
true
→
|
| isIsotropic |
true
→
|
| isMaximallySymmetric |
true
→
|
| isSolutionOf |
Einstein field equations with cosmological constant
→
|
| isTimeReversalInvariant |
true
→
|
| isUsedIn |
inflationary cosmology
→
|
| isVacuumSolution |
true
→
|
| models |
expanding universe
→
|
| namedAfter |
Willem de Sitter
→
|
Referenced by (12)
| Subject (surface form when different) | Predicate |
|---|---|
|
Willem de Sitter
("de Sitter universe")
→
Willem de Sitter ("de Sitter space") → Willem de Sitter ("de Sitter metric") → |
hasConceptNamedAfter |
|
Gibbons–Hawking temperature
("de Sitter space")
→
Penrose–Carter diagram → |
appliesTo |
|
Willem de Sitter
("de Sitter universe")
→
Willem de Sitter ("de Sitter space") → |
knownFor |
|
Einstein field equations
→
|
admitsSolution |
|
Gibbons–Hawking temperature
("de Sitter horizon")
→
|
associatedWith |
|
Willem de Sitter
("de Sitter")
→
|
familyName |
|
de Sitter spacetime
("n-dimensional de Sitter spacetime")
→
|
hasGeneralization |
|
Lorentzian geometry
("de Sitter space")
→
|
hasKeyConcept |