Schwarzschild radius
E7615
The Schwarzschild radius is the critical distance from the center of a non-rotating, spherically symmetric mass at which its escape velocity equals the speed of light, defining the boundary of a black hole.
All labels observed (3)
| Label | Occurrences |
|---|---|
| Schwarzschild radius canonical | 12 |
| Schwarzschild event horizon | 2 |
| Schwarzschild radius is coordinate singularity | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T65770 — 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.
Target entity: Schwarzschild radius Context triple: [Schwarzschild black hole, hasEventHorizon, Schwarzschild radius]
-
A.
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.
-
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.
Bekenstein–Hawking entropy
Bekenstein–Hawking entropy is the thermodynamic entropy associated with a black hole, proportional to the area of its event horizon and fundamental in linking gravity, quantum theory, and thermodynamics.
-
D.
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.
-
E.
black hole no-hair theorem
The black hole no-hair theorem is a principle in general relativity stating that stationary black holes are completely characterized by only a few macroscopic parameters—mass, electric charge, and angular momentum—regardless of the details of the matter that formed them.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Target entity: Schwarzschild radius Target entity description: The Schwarzschild radius is the critical distance from the center of a non-rotating, spherically symmetric mass at which its escape velocity equals the speed of light, defining the boundary of a black hole.
-
A.
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.
-
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.
Bekenstein–Hawking entropy
Bekenstein–Hawking entropy is the thermodynamic entropy associated with a black hole, proportional to the area of its event horizon and fundamental in linking gravity, quantum theory, and thermodynamics.
-
D.
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.
-
E.
black hole no-hair theorem
The black hole no-hair theorem is a principle in general relativity stating that stationary black holes are completely characterized by only a few macroscopic parameters—mass, electric charge, and angular momentum—regardless of the details of the matter that formed them.
- F. None of above. chosen
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
concept in general relativity
ⓘ
length scale ⓘ physical quantity ⓘ |
| alsoKnownAs | gravitational radius ⓘ |
| appearsIn |
Schwarzschild black hole
ⓘ
surface form:
Schwarzschild solution to Einstein field equations
|
| appliesTo | non-rotating spherically symmetric mass ⓘ |
| associatedWith | Schwarzschild black hole ⓘ |
| assumes |
non-rotating mass
ⓘ
spherical symmetry ⓘ uncharged mass ⓘ |
| category |
black hole physics
ⓘ
relativistic gravitation ⓘ |
| contrastsWith |
Kerr radius for rotating black holes
ⓘ
Reissner–Nordström metric ⓘ
surface form:
Reissner–Nordström radius for charged black holes
|
| coordinateSingularityAt | Schwarzschild coordinates ⓘ |
| definedBy | distance from the center of a mass where escape velocity equals the speed of light ⓘ |
| defines | event horizon of a non-rotating black hole ⓘ |
| dependsOn |
gravitational constant G
ⓘ
mass M ⓘ speed of light c ⓘ |
| dimension | length ⓘ |
| discoveredBy | Karl Schwarzschild ⓘ |
| escapeVelocityAtRadius | speed of light ⓘ |
| forEarthApprox | about 9 millimeters ⓘ |
| formulatedInTheory | general relativity ⓘ |
| forSunApprox | about 3 kilometers ⓘ |
| generalizationOf | Newtonian escape velocity condition ⓘ |
| implies | inside radius light cannot escape to infinity ⓘ |
| marksBoundary | region from which nothing can escape ⓘ |
| mathematicalExpression | r_s = 2GM/c^2 ⓘ |
| namedAfter | Karl Schwarzschild ⓘ |
| notEqualTo | physical surface of any material object ⓘ |
| physicalMeaning | radius of event horizon for a non-rotating uncharged black hole ⓘ |
| proportionalTo | mass of the object ⓘ |
| relatedTo |
Schwarzschild black hole
ⓘ
surface form:
Schwarzschild metric
black hole ⓘ event horizon ⓘ gravitational collapse ⓘ |
| scalesLinearlyWith | mass of black hole ⓘ |
| SIUnit | meter ⓘ |
| symbol |
r_g
ⓘ
r_s ⓘ |
| usedIn |
astrophysics
ⓘ
black hole thermodynamics ⓘ cosmology ⓘ |
| usedToEstimate | size of black hole ⓘ |
| yearIntroduced | 1916 ⓘ |
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.
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.
Subject: Schwarzschild radius Description of subject: The Schwarzschild radius is the critical distance from the center of a non-rotating, spherically symmetric mass at which its escape velocity equals the speed of light, defining the boundary of a black hole.
Referenced by (15)
Full triples — surface form annotated when it differs from this entity's canonical label.