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.

AI illustration

How this image was made

AI-generated illustration of Schwarzschild radius

This AI-generated illustration was produced by black-forest-labs/FLUX.2-dev (1024x1024) from a prompt written by openai/gpt-oss-120b from the entity's label + description.

Prompt

Generate an image of the Schwarzschild radius (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 (4)

How this entity was disambiguated

Statements (47)

Predicate Object
instanceOf concept in general relativity ⓘ
length scale ⓘ
physical quantity ⓘ
alsoKnownAs gravitational radius ⓘ
appearsIn 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 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 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

Referenced by (16)

Full triples — surface form annotated when it differs from this entity's canonical label.

Schwarzschild black hole → hasEventHorizon → Schwarzschild radius ⓘ
Kretschmann scalar → finiteAt → Schwarzschild event horizon ⓘ
linked to: Schwarzschild radius
Kretschmann scalar → helpsShow → Schwarzschild radius is coordinate singularity ⓘ
linked to: Schwarzschild radius
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 event horizon ⓘ
linked to: Schwarzschild radius
Einstein–Rosen bridge → throatLocatedAt → Schwarzschild radius ⓘ
Karl Schwarzschild → knownFor → Schwarzschild radius ⓘ
subject linked to: Schwarzschild
Karl Schwarzschild → hasNameInTheory → Schwarzschild radius ⓘ
subject linked to: Schwarzschild
Über das Gravitationsfeld eines Massenpunktes nach der Einsteinschen Theorie → relatedConcept → Schwarzschild radius ⓘ
Karl Schwarzschild → notableWork → Schwarzschild radius ⓘ
subject linked to: Karl
Karl Schwarzschild → hasUnitNamedAfter → Schwarzschild radius ⓘ
subject linked to: Karl
Paczynski–Wiita potential → includesParameter → Schwarzschild radius r_s ⓘ
linked to: Schwarzschild radius