Kerr–Newman black hole

E43148

The Kerr–Newman black hole is a theoretical solution of Einstein’s field equations describing a rotating, electrically charged black hole characterized solely by its mass, angular momentum, and charge.

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AI-generated illustration of Kerr–Newman black hole

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.

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Generate an image of the Kerr–Newman black hole (The Kerr–Newman black hole is a theoretical solution of Einstein’s field equations describing a rotating, electrically charged black hole characterized solely by its mass, angular momentum, and charge.)

All labels observed (6)

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Statements (50)

Predicate Object
instanceOf asymptotically flat spacetime
black hole solution
exact solution of Einstein field equations
rotating charged black hole
stationary axisymmetric spacetime
type D Petrov spacetime
belongsTo class of electrovacuum solutions
canHave magnetic charge in generalized solutions
characterizedBy electric charge
mass
spin
definedIn four-dimensional spacetime
describedByTheory general relativity
generalizes Kerr black hole
linked to: Kerr metric

Reissner–Nordström black hole
hasChargeType electric charge
hasConservedQuantity angular momentum
electric charge
mass-energy
hasCoordinateSystem Boyer–Lindquist coordinates
hasEffect Lense–Thirring precession
linked to: Kerr metric

frame dragging
hasEventHorizon inner Cauchy horizon
outer event horizon
hasExtremalCondition M^2 = a^2 + Q^2 in geometric units
hasInnerHorizonRadiusFormula r_- = M - sqrt(M^2 - a^2 - Q^2)
hasLimitingCase naked singularity when M^2 < a^2 + Q^2
hasOuterHorizonRadiusFormula r_+ = M + sqrt(M^2 - a^2 - Q^2)
hasParameter angular momentum
electric charge
mass
hasRegion ergosphere
hasSingularity ring singularity
hasSurface Killing horizon
hasSymmetry axisymmetry
stationary symmetry
hasThermodynamicProperty Bekenstein–Hawking entropy
Hawking temperature
linked to: Hawking radiation
hasTopology R^2 × S^2 outside the ring singularity
metricType Kerr–Newman metric
namedAfter Ezra Newman
Roy Kerr
obeys cosmic censorship conjecture when non-extremal
reducesTo Kerr black hole when charge is zero
Reissner–Nordström black hole when angular momentum is zero
Schwarzschild black hole when charge and angular momentum are zero
satisfies no-hair theorem parameters mass, charge, angular momentum
solutionOf Einstein–Maxwell equations
usedIn studies of black hole thermodynamics
tests of the no-hair theorem

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Referenced by (13)

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

black hole no-hair theorem relatedConcept Kerr–Newman black hole
The Mathematical Theory of Black Holes covers Kerr–Newman metric
linked to: Kerr–Newman black hole
Kerr metric isGeneralizedBy Kerr–Newman metric
linked to: Kerr–Newman black hole
Kerr–Newman black hole metricType Kerr–Newman metric
linked to: Kerr–Newman black hole
Boyer–Lindquist coordinates usedFor Kerr–Newman metric
linked to: Kerr–Newman black hole
Kerr–Schild coordinates appliesTo Kerr–Newman spacetime
linked to: Kerr–Newman black hole
Einstein–Maxwell equations usedFor Kerr–Newman solution
linked to: Kerr–Newman black hole
Ezra Newman notableWork Kerr–Newman metric
linked to: Kerr–Newman black hole
Ezra Newman notableConcept Kerr–Newman black hole
Cauchy horizon occursIn Kerr–Newman spacetime
linked to: Kerr–Newman black hole
Zeldovich–Novikov theory of black holes relatedTo Kerr black hole solutions
linked to: Kerr–Newman black hole
first law of black hole mechanics appliesTo Kerr–Newman black holes
linked to: Kerr–Newman black hole