Schwarzschild black hole
E1310
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.
All labels observed (14)
How this entity was disambiguated
This entity first appeared as the object of triple T19064 — 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: Schwarzschild black hole Context triple: [Oppenheimer–Snyder model, relatedTo, Schwarzschild black hole]
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A.
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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B.
Albert Einstein
Albert Einstein was a theoretical physicist best known for developing the theory of relativity and fundamentally reshaping modern physics.
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C.
Darkness and Light
"Darkness and Light" is a 2016 R&B and soul studio album by John Legend that explores themes of love, social justice, and personal reflection.
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D.
Baade Telescope
The Baade Telescope is one of the twin 6.5-meter Magellan optical telescopes used for cutting-edge astronomical research in Chile.
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E.
Blitz
The Blitz was the sustained German bombing campaign against the United Kingdom, particularly London, during 1940–1941 in World War II.
- 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: Schwarzschild black hole Target entity description: 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.
-
A.
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.
-
B.
Albert Einstein
Albert Einstein was a theoretical physicist best known for developing the theory of relativity and fundamentally reshaping modern physics.
-
C.
Darkness and Light
"Darkness and Light" is a 2016 R&B and soul studio album by John Legend that explores themes of love, social justice, and personal reflection.
-
D.
Baade Telescope
The Baade Telescope is one of the twin 6.5-meter Magellan optical telescopes used for cutting-edge astronomical research in Chile.
-
E.
Blitz
The Blitz was the sustained German bombing campaign against the United Kingdom, particularly London, during 1940–1941 in World War II.
- F. None of above. chosen
Statements (49)
| Predicate | Object |
|---|---|
| instanceOf |
astrophysical object model
ⓘ
black hole solution ⓘ exact solution of Einstein field equations ⓘ |
| alternativeCoordinates |
Eddington–Finkelstein coordinates
ⓘ
Kruskal–Szekeres coordinates ⓘ |
| approximates | non-rotating astrophysical black hole ⓘ |
| belongsToClass |
asymptotically flat spacetimes
ⓘ
stationary black holes ⓘ |
| coordinateSystemUsed | Schwarzschild coordinates ⓘ |
| describedByTheory |
theory of relativity
ⓘ
surface form:
general relativity
|
| hasCausalStructure |
Kruskal–Szekeres coordinates
ⓘ
surface form:
maximally extended Kruskal–Szekeres spacetime
|
| hasCoordinateSingularity | at r = r_s in Schwarzschild coordinates ⓘ |
| hasCurvatureDivergence | singularity at r = 0 ⓘ |
| hasCurvatureInvariant | Kretschmann scalar ⓘ |
| hasEntropyFormula | Bekenstein–Hawking entropy ⓘ |
| hasEventHorizon | Schwarzschild radius ⓘ |
| hasGeodesics |
circular photon orbits
ⓘ
radial timelike geodesics ⓘ |
| hasGlobalStructureFeature | event horizon separating causally disconnected regions ⓘ |
| hasHorizonType | non-rotating event horizon ⓘ |
| hasInnermostStableCircularOrbit | radius 6GM/c^2 for test particles ⓘ |
| hasLineElement |
Schwarzschild black hole
self-linksurface differs
ⓘ
surface form:
Schwarzschild line element
|
| hasMetric |
Schwarzschild black hole
self-linksurface differs
ⓘ
surface form:
Schwarzschild metric
|
| hasParameter | mass ⓘ |
| hasPenroseDiagram | Schwarzschild Penrose diagram ⓘ |
| hasPhotonSphere | radius 3GM/c^2 ⓘ |
| hasProperty |
non-rotating
ⓘ
static ⓘ uncharged ⓘ |
| hasSchwarzschildRadiusFormula | r_s = 2GM/c^2 ⓘ |
| hasSingularityType | central curvature singularity ⓘ |
| hasSpacetimeRegion |
Schwarzschild black hole
self-linksurface differs
ⓘ
surface form:
Schwarzschild exterior
Schwarzschild black hole self-linksurface differs ⓘ
surface form:
Schwarzschild interior
event horizon ⓘ |
| hasSurfaceGravity | constant over horizon ⓘ |
| hasSymmetry | spherical symmetry ⓘ |
| hasTemperature | Hawking temperature ⓘ |
| isSpecialCaseOf |
Schwarzschild black hole
self-linksurface differs
ⓘ
surface form:
Kerr black hole with zero spin
Reissner–Nordström black hole with zero charge ⓘ |
| lacksParameter |
angular momentum
ⓘ
electric charge ⓘ |
| namedAfter | Karl Schwarzschild ⓘ |
| obeysLaw |
black hole area theorem
ⓘ
black hole no-hair theorem ⓘ |
| satisfiesEquation | Einstein field equations in vacuum ⓘ |
| solutionType | vacuum solution ⓘ |
| usedIn |
accretion disk models
ⓘ
gravitational lensing calculations ⓘ tests of general relativity ⓘ |
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: Schwarzschild black hole Description of subject: 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.
Referenced by (54)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Schwarzschild metric
this entity surface form:
Schwarzschild metric
this entity surface form:
Schwarzschild interior
this entity surface form:
Schwarzschild exterior
this entity surface form:
Schwarzschild line element
this entity surface form:
Kerr black hole with zero spin
this entity surface form:
Schwarzschild metric
this entity surface form:
Schwarzschild metric
this entity surface form:
Schwarzschild metric
this entity surface form:
Schwarzschild solution to Einstein field equations
this entity surface form:
Schwarzschild metric
this entity surface form:
Schwarzschild spacetime
this entity surface form:
Schwarzschild spacetime
this entity surface form:
Schwarzschild metric
this entity surface form:
Schwarzschild metric
this entity surface form:
Schwarzschild metric
this entity surface form:
Schwarzschild solution
this entity surface form:
Schwarzschild solution
this entity surface form:
Schwarzschild metric
this entity surface form:
Schwarzschild metric
this entity surface form:
Schwarzschild solution
this entity surface form:
Schwarzschild manifold
this entity surface form:
Schwarzschild black hole when charge and angular momentum are zero
this entity surface form:
Schwarzschild solution
this entity surface form:
Schwarzschild spacetime
this entity surface form:
Schwarzschild metric
subject surface form:
Karl Schwarzschild
this entity surface form:
Schwarzschild metric
subject surface form:
Karl Schwarzschild
subject surface form:
Karl Schwarzschild
this entity surface form:
Schwarzschild solution
subject surface form:
Karl Schwarzschild
this entity surface form:
Schwarzschild geometry
subject surface form:
Karl Schwarzschild
subject surface form:
Schwarzschild black hole
this entity surface form:
Schwarzschild metric
"Über das Gravitationsfeld eines Massenpunktes nach der Einsteinschen Theorie"
→
topic
→
Schwarzschild black hole
ⓘ
subject surface form:
Über das Gravitationsfeld eines Massenpunktes nach der Einsteinschen Theorie
this entity surface form:
Schwarzschild solution
"Über das Gravitationsfeld eines Massenpunktes nach der Einsteinschen Theorie"
→
introduces
→
Schwarzschild black hole
ⓘ
subject surface form:
Über das Gravitationsfeld eines Massenpunktes nach der Einsteinschen Theorie
this entity surface form:
Schwarzschild metric
"Über das Gravitationsfeld eines Massenpunktes nach der Einsteinschen Theorie"
→
foundationFor
→
Schwarzschild black hole
ⓘ
subject surface form:
Über das Gravitationsfeld eines Massenpunktes nach der Einsteinschen Theorie
this entity surface form:
Schwarzschild black hole concept
"Über das Gravitationsfeld eines Massenpunktes nach der Einsteinschen Theorie"
→
citedFor
→
Schwarzschild black hole
ⓘ
subject surface form:
Über das Gravitationsfeld eines Massenpunktes nach der Einsteinschen Theorie
this entity surface form:
Schwarzschild metric derivation
subject surface form:
Karl Schwarzschild
this entity surface form:
Schwarzschild metric
subject surface form:
Karl Schwarzschild
subject surface form:
Karl Schwarzschild
this entity surface form:
Schwarzschild solution to Einstein field equations
subject surface form:
Karl Schwarzschild
subject surface form:
Karl Schwarzschild
this entity surface form:
Schwarzschild metric
subject surface form:
Karl Schwarzschild
this entity surface form:
Schwarzschild solution
subject surface form:
Penrose–Carter diagram
this entity surface form:
Schwarzschild spacetime
this entity surface form:
Schwarzschild solution
subject surface form:
A First Course in General Relativity
this entity surface form:
Schwarzschild solution