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.

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All labels observed (3)

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

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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
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- If the subject is not a named entity, return an empty list.
- Include at least one triple where predicate is "instanceOf".
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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.

Schwarzschild black hole hasEventHorizon Schwarzschild radius
Kretschmann scalar finiteAt Schwarzschild radius
this entity surface form: Schwarzschild event horizon
Kretschmann scalar helpsShow Schwarzschild radius
this entity surface form: Schwarzschild radius is coordinate singularity
Karl Schwarzschild knownFor Schwarzschild radius
Karl Schwarzschild hasEponym Schwarzschild radius
Kruskal–Szekeres coordinates relatedConcept Schwarzschild radius
Schwarzschild coordinates associatedWith Schwarzschild radius
Painlevé–Gullstrand coordinates isRegularAt Schwarzschild radius
this entity surface form: Schwarzschild event horizon
Einstein–Rosen bridge throatLocatedAt Schwarzschild radius
Schwarzschild knownFor Schwarzschild radius
subject surface form: Karl Schwarzschild
Schwarzschild hasNameInTheory Schwarzschild radius
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
Karl notableWork Schwarzschild radius
subject surface form: Karl Schwarzschild
Karl hasUnitNamedAfter Schwarzschild radius
subject surface form: Karl Schwarzschild