Schwarzschild black hole

E1310

astrophysical object model black hole solution exact solution of Einstein field equations

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.

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All labels observed (14)

Label	Occurrences
Schwarzschild metric	18
Schwarzschild solution	11
Schwarzschild black hole canonical	10
Schwarzschild spacetime	4
Schwarzschild solution to Einstein field equations	2
Kerr black hole with zero spin	1
Schwarzschild black hole concept	1
Schwarzschild black hole when charge and angular momentum are zero	1
Schwarzschild exterior	1
Schwarzschild geometry	1
Schwarzschild interior	1
Schwarzschild line element	1
Schwarzschild manifold	1
Schwarzschild metric derivation	1

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]

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
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	general relativity ⓘ linked to: theory of relativity
hasCausalStructure	maximally extended Kruskal–Szekeres spacetime ⓘ linked to: Kruskal–Szekeres coordinates
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 line element ⓘ linked to: Schwarzschild black hole
hasMetric	Schwarzschild metric ⓘ linked to: Schwarzschild black hole
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 exterior ⓘ linked to: Schwarzschild black hole Schwarzschild interior ⓘ linked to: Schwarzschild black hole event horizon ⓘ
hasSurfaceGravity	constant over horizon ⓘ
hasSymmetry	spherical symmetry ⓘ
hasTemperature	Hawking temperature ⓘ
isSpecialCaseOf	Kerr black hole with zero spin ⓘ linked to: Schwarzschild black hole 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 ⓘ