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.
Aliases (2)
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
→
|
Referenced by (15)
| Subject (surface form when different) | Predicate |
|---|---|
|
Karl Schwarzschild
→
Karl Schwarzschild → |
knownFor |
|
Kruskal–Szekeres coordinates
→
Über das Gravitationsfeld eines Massenpunktes nach der Einsteinschen Theorie → |
relatedConcept |
|
Schwarzschild coordinates
→
|
associatedWith |
|
Kretschmann scalar
("Schwarzschild event horizon")
→
|
finiteAt |
|
Schwarzschild coordinates
→
|
hasCoordinateSingularityAt |
|
Karl Schwarzschild
→
|
hasEponym |
|
Schwarzschild black hole
→
|
hasEventHorizon |
|
Karl Schwarzschild
→
|
hasNameInTheory |
|
Karl Schwarzschild
→
|
hasUnitNamedAfter |
|
Kretschmann scalar
("Schwarzschild radius is coordinate singularity")
→
|
helpsShow |
|
Painlevé–Gullstrand coordinates
("Schwarzschild event horizon")
→
|
isRegularAt |
|
Karl Schwarzschild
→
|
notableWork |
|
Einstein–Rosen bridge
→
|
throatLocatedAt |