Schwarzschild black hole

E1310

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.

All labels observed (14)

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Statements (49)

Predicate Object
instanceOf astrophysical object model
black hole solution
exact solution of Einstein field equations
alternativeCoordinates Eddington–Finkelstein coordinates
Kruskal–Szekeres coordinates
approximates non-rotating astrophysical black hole
belongsToClass asymptotically flat spacetimes
stationary black holes
coordinateSystemUsed Schwarzschild coordinates
describedByTheory theory of relativity
surface form: general relativity
hasCausalStructure Kruskal–Szekeres coordinates
surface form: maximally extended Kruskal–Szekeres spacetime
hasCoordinateSingularity at r = r_s in Schwarzschild coordinates
hasCurvatureDivergence singularity at r = 0
hasCurvatureInvariant Kretschmann scalar
hasEntropyFormula Bekenstein–Hawking entropy
hasEventHorizon Schwarzschild radius
hasGeodesics circular photon orbits
radial timelike geodesics
hasGlobalStructureFeature event horizon separating causally disconnected regions
hasHorizonType non-rotating event horizon
hasInnermostStableCircularOrbit radius 6GM/c^2 for test particles
hasLineElement Schwarzschild black hole self-linksurface differs
surface form: Schwarzschild line element
hasMetric Schwarzschild black hole self-linksurface differs
surface form: Schwarzschild metric
hasParameter mass
hasPenroseDiagram Schwarzschild Penrose diagram
hasPhotonSphere radius 3GM/c^2
hasProperty non-rotating
static
uncharged
hasSchwarzschildRadiusFormula r_s = 2GM/c^2
hasSingularityType central curvature singularity
hasSpacetimeRegion Schwarzschild black hole self-linksurface differs
surface form: Schwarzschild exterior

Schwarzschild black hole self-linksurface differs
surface form: Schwarzschild interior

event horizon
hasSurfaceGravity constant over horizon
hasSymmetry spherical symmetry
hasTemperature Hawking temperature
isSpecialCaseOf Schwarzschild black hole self-linksurface differs
surface form: Kerr black hole with zero spin

Reissner–Nordström black hole with zero charge
lacksParameter angular momentum
electric charge
namedAfter Karl Schwarzschild
obeysLaw black hole area theorem
black hole no-hair theorem
satisfiesEquation Einstein field equations in vacuum
solutionType vacuum solution
usedIn accretion disk models
gravitational lensing calculations
tests of general relativity

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Referenced by (54)

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

A First Course in General Relativity topic Schwarzschild black hole
this entity surface form: Schwarzschild solution
Hayward black hole model isAlternativeTo Schwarzschild black hole
Tolman–Oppenheimer–Volkoff equation relatedTo Schwarzschild black hole
this entity surface form: Schwarzschild metric
Einstein–Rosen 1935 paper relatedTo Schwarzschild black hole
this entity surface form: Schwarzschild solution