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.


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

Referenced by (8)
Subject (surface form when different) Predicate
Boyer–Lindquist coordinates ("Kerr–Newman metric")
Einstein–Maxwell equations ("Kerr–Newman solution")
usedFor
Kerr–Schild coordinates ("Kerr–Newman spacetime")
appliesTo
Israel–Carter–Robinson uniqueness theorems
concerns
The Mathematical Theory of Black Holes ("Kerr–Newman metric")
covers
Kerr metric ("Kerr–Newman metric")
isGeneralizedBy
Kerr–Newman black hole ("Kerr–Newman metric")
metricType
black hole no-hair theorem
relatedConcept

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