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).
All labels observed (8)
| Label | Occurrences |
|---|---|
| de Sitter space | 6 |
| de Sitter spacetime canonical | 2 |
| de Sitter universe | 2 |
| de Sitter | 1 |
| de Sitter core | 1 |
| de Sitter horizon | 1 |
| de Sitter metric | 1 |
| n-dimensional de Sitter spacetime | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T79915 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: de Sitter spacetime Context triple: [Einstein field equations, admitsSolution, de Sitter spacetime]
-
A.
FLRW cosmological models
FLRW cosmological models are a family of solutions to Einstein’s field equations that describe a homogeneous and isotropic expanding or contracting universe, forming the standard framework for modern cosmology.
-
B.
Schwarzschild black hole
A Schwarzschild black hole is the simplest theoretical black hole solution in general relativity, describing a static, spherically symmetric, non-rotating, uncharged mass with an event horizon defined by the Schwarzschild radius.
-
C.
Oppenheimer–Snyder model
The Oppenheimer–Snyder model is a pioneering theoretical description of gravitational collapse in general relativity, providing one of the first rigorous treatments of how a massive star can form a black hole.
-
D.
Einstein field equations
The Einstein field equations are the core mathematical framework of general relativity, relating the curvature of spacetime to the distribution of matter and energy.
-
E.
Kretschmann scalar
The Kretschmann scalar is a curvature invariant in general relativity that combines components of the Riemann tensor into a single scalar quantity used to characterize the intensity of spacetime curvature, especially near singularities.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: de Sitter spacetime Target entity description: 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).
-
A.
FLRW cosmological models
FLRW cosmological models are a family of solutions to Einstein’s field equations that describe a homogeneous and isotropic expanding or contracting universe, forming the standard framework for modern cosmology.
-
B.
Schwarzschild black hole
A Schwarzschild black hole is the simplest theoretical black hole solution in general relativity, describing a static, spherically symmetric, non-rotating, uncharged mass with an event horizon defined by the Schwarzschild radius.
-
C.
Kasner
Kasner is the birth surname of former German chancellor Angela Merkel, reflecting her family name before marriage.
-
D.
Oppenheimer–Snyder model
The Oppenheimer–Snyder model is a pioneering theoretical description of gravitational collapse in general relativity, providing one of the first rigorous treatments of how a massive star can form a black hole.
-
E.
Einstein field equations
The Einstein field equations are the core mathematical framework of general relativity, relating the curvature of spacetime to the distribution of matter and energy.
- F. None of above. chosen
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 |
de Sitter spacetime
self-linksurface differs
ⓘ
surface form:
n-dimensional de Sitter spacetime
|
| hasHorizonType | observer-dependent cosmological horizon ⓘ |
| hasIsometryGroup | SO(1,4) ⓘ |
| hasLimitCase | Minkowski spacetime for Λ → 0 ⓘ |
| hasMetricType |
FLRW cosmological models
ⓘ
surface form:
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 ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: de Sitter spacetime Description of subject: 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).
Referenced by (15)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
n-dimensional de Sitter spacetime
this entity surface form:
de Sitter
this entity surface form:
de Sitter universe
this entity surface form:
de Sitter space
this entity surface form:
de Sitter universe
this entity surface form:
de Sitter space
this entity surface form:
de Sitter metric
this entity surface form:
de Sitter space
this entity surface form:
de Sitter horizon
this entity surface form:
de Sitter space
subject surface form:
Penrose–Carter diagram
this entity surface form:
de Sitter core
this entity surface form:
de Sitter space
this entity surface form:
de Sitter space