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 |
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.
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 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.
this entity surface form:
Schwarzschild event horizon
this entity surface form:
Schwarzschild radius is coordinate singularity
this entity surface form:
Schwarzschild event horizon
subject surface form:
Karl Schwarzschild
subject surface form:
Karl Schwarzschild
"Über das Gravitationsfeld eines Massenpunktes nach der Einsteinschen Theorie"
→
relatedConcept
→
Schwarzschild radius
ⓘ
subject surface form:
Über das Gravitationsfeld eines Massenpunktes nach der Einsteinschen Theorie
subject surface form:
Karl Schwarzschild
subject surface form:
Karl Schwarzschild