black hole no-hair theorem

E6813

no-hair theorem theorem in general relativity

The black hole no-hair theorem is a principle in general relativity stating that stationary black holes are completely characterized by only a few macroscopic parameters—mass, electric charge, and angular momentum—regardless of the details of the matter that formed them.

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All labels observed (3)

Label	Occurrences
no-hair theorem	3
black hole no-hair theorem canonical	1
no-hair theorem for black holes	1

Statements (47)

Predicate	Object
instanceOf	no-hair theorem ⓘ theorem in general relativity ⓘ
appliesTo	stationary black holes ⓘ
assumes	Einstein field equations ⓘ absence of matter fields outside the black hole other than electromagnetic field ⓘ asymptotic flatness of spacetime ⓘ classical, non-quantum description of gravity ⓘ cosmic censorship hypothesis in many formulations ⓘ stationarity ⓘ
category	black hole physics ⓘ mathematical relativity ⓘ
concerns	classical black holes ⓘ
consequence	all stationary, asymptotically flat, electrovac black holes are described by the Kerr–Newman family of solutions ⓘ
contrastsWith	dependence on microscopic details of collapsing matter ⓘ
excludes	additional classical hair such as higher independent multipole moments ⓘ
field	general relativity ⓘ
hasExtension	no-hair conjectures for additional fields ⓘ
hasImplication	information about infalling matter is not encoded in additional classical observables outside the horizon ⓘ
hasLimitation	does not fully address dynamical or non-stationary black holes ⓘ may not apply in non-asymptotically flat spacetimes such as with cosmological constant ⓘ
hasNameOrigin	metaphor that black holes have no hair, meaning no additional distinguishing features ⓘ
hasStatus	rigorously proven only under specific assumptions ⓘ
holdsFor	charged rotating black holes described by the Kerr–Newman metric ⓘ non-rotating uncharged black holes described by the Schwarzschild metric ⓘ uncharged rotating black holes described by the Kerr metric ⓘ
implies	black holes have no additional independent multipole moments beyond those determined by mass, charge, and angular momentum ⓘ details of the matter that formed a black hole are not observable from outside except through mass, charge, and angular momentum ⓘ
influences	black hole information paradox ⓘ black hole thermodynamics ⓘ
involves	angular momentum dipole moment ⓘ electric monopole moment ⓘ mass monopole moment ⓘ
isAbout	macroscopic characterization of black holes ⓘ
mayBeModifiedBy	quantum effects ⓘ
mayFailIn	theories with additional long-range fields ⓘ
motivates	search for observational signatures of deviations from Kerr geometry ⓘ
parameter	angular momentum ⓘ electric charge ⓘ mass ⓘ
relatedConcept	Israel–Carter–Robinson uniqueness theorems ⓘ Kerr–Newman black hole ⓘ
relatesTo	black hole uniqueness theorems ⓘ event horizon ⓘ
statesThat	a stationary black hole is completely characterized by a small set of macroscopic parameters ⓘ
testedBy	ringdown phase observations of binary black hole mergers ⓘ
usedIn	astrophysical modeling of black holes ⓘ tests of general relativity with gravitational waves ⓘ

Referenced by (5)

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

Schwarzschild black hole → obeysLaw → black hole no-hair theorem ⓘ

Israel–Carter–Robinson uniqueness theorems → relatedTo → black hole no-hair theorem ⓘ

this entity surface form: no-hair theorem

information loss paradox → involvesConcept → black hole no-hair theorem ⓘ

this entity surface form: no-hair theorem

cosmic censorship conjecture → relatedTo → black hole no-hair theorem ⓘ

this entity surface form: no-hair theorem

cosmic no-hair conjecture → relatesTo → black hole no-hair theorem ⓘ

this entity surface form: no-hair theorem for black holes