Einstein static universe
E414059
The Einstein static universe is a cosmological model proposed by Albert Einstein in which the universe is finite, spatially curved, and static, balanced by a cosmological constant that counteracts gravitational collapse.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Einstein static universe canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T4100870 — 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: Einstein static universe Context triple: [On the Curvature of Space, relatedTo, Einstein static universe]
-
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.
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.
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C.
American school of relativistic cosmology
The American school of relativistic cosmology was a mid-20th-century research tradition in the United States that advanced the mathematical and physical foundations of general relativity and modern cosmology through the work of theorists such as Howard P. Robertson.
-
D.
Lemaître–Tolman metric
The Lemaître–Tolman metric is an exact spherically symmetric, inhomogeneous solution of Einstein’s field equations used in cosmology to model non-uniform distributions of matter without assuming spatial homogeneity.
-
E.
An Essay in Cosmology
An Essay in Cosmology is the subtitle of Alfred North Whitehead’s major philosophical work *Process and Reality*, which presents his influential process philosophy and metaphysical system.
- 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: Einstein static universe Target entity description: The Einstein static universe is a cosmological model proposed by Albert Einstein in which the universe is finite, spatially curved, and static, balanced by a cosmological constant that counteracts gravitational collapse.
-
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.
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.
-
C.
American school of relativistic cosmology
The American school of relativistic cosmology was a mid-20th-century research tradition in the United States that advanced the mathematical and physical foundations of general relativity and modern cosmology through the work of theorists such as Howard P. Robertson.
-
D.
Lemaître–Tolman metric
The Lemaître–Tolman metric is an exact spherically symmetric, inhomogeneous solution of Einstein’s field equations used in cosmology to model non-uniform distributions of matter without assuming spatial homogeneity.
-
E.
An Essay in Cosmology
An Essay in Cosmology is the subtitle of Alfred North Whitehead’s major philosophical work *Process and Reality*, which presents his influential process philosophy and metaphysical system.
- F. None of above. chosen
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
cosmological model
ⓘ
solution of Einstein field equations ⓘ static universe model ⓘ |
| assumes |
matter-dominated universe
ⓘ
no cosmic contraction ⓘ no cosmic expansion ⓘ pressureless dust matter ⓘ |
| balancedBy | cosmological constant ⓘ |
| basedOnTheory | general relativity ⓘ |
| becomes |
contracting universe under small perturbation
ⓘ
expanding universe under small perturbation ⓘ |
| contradictedBy |
Lemaître–Hubble law
ⓘ
surface form:
Hubble–Lemaître law
observed cosmic expansion ⓘ |
| cosmologicalConstantRole | counteracts gravitational attraction ⓘ |
| cosmologicalConstantSign | positive ⓘ |
| hasCurvature | positive spatial curvature ⓘ |
| hasDimension | three spatial dimensions plus time ⓘ |
| hasFeature | finite but unbounded space ⓘ |
| hasParameter |
constant scale factor a(t)
ⓘ
matter density tuned to cosmological constant ⓘ |
| hasProperty |
finite spatial volume
ⓘ
homogeneous ⓘ isotropic ⓘ positively curved space ⓘ spatially closed ⓘ static ⓘ time-independent scale factor ⓘ |
| historicalAssessmentByEinstein | "biggest blunder" (attributed) after discovery of expansion ⓘ |
| influenced | development of relativistic cosmology ⓘ |
| introducedIn | 1917 ⓘ |
| introducedInContextOf | cosmological constant problem ⓘ |
| motivatedBy |
belief in eternal unchanging cosmos
ⓘ
desire for a static universe ⓘ |
| proposedBy | Albert Einstein ⓘ |
| publishedIn | "Kosmologische Betrachtungen zur allgemeinen Relativitätstheorie" ⓘ |
| publishedInJournal |
Sitzungsberichte der Königlich Preussischen Akademie der Wissenschaften
ⓘ
surface form:
Sitzungsberichte der Königlich Preußischen Akademie der Wissenschaften
|
| relatedTo |
FLRW cosmological models
ⓘ
surface form:
Friedmann–Lemaître–Robertson–Walker metric
|
| relevance |
historical precursor to modern cosmology
ⓘ
illustrates role of cosmological constant ⓘ |
| requiresFineTuningOf | cosmological constant value ⓘ |
| satisfies |
Einstein field equations
ⓘ
surface form:
Einstein field equations with cosmological constant
|
| spatialTopology | 3-sphere ⓘ |
| specialCaseOf | FLRW cosmological models ⓘ |
| stabilityProperty | unstable to small perturbations ⓘ |
| stabilityType | neutrally stable in linear approximation but unstable nonlinearly ⓘ |
| usedAs | toy model in theoretical cosmology ⓘ |
| uses | cosmological constant ⓘ |
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: Einstein static universe Description of subject: The Einstein static universe is a cosmological model proposed by Albert Einstein in which the universe is finite, spatially curved, and static, balanced by a cosmological constant that counteracts gravitational collapse.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.