The No-Hair Theorem, also called the black hole uniqueness theorem, states that every stationary black hole solution of the combined Einstein and Maxwell equations of gravitation and electromagnetism can be completely described by only three externally observable quantities: its mass, its angular momentum, and its electric charge. Every other detail about the matter that collapsed to form the black hole, or that later fell into it, becomes permanently inaccessible to outside observers once the black hole settles down, a loss of information popularly summarized by the physicist John Archibald Wheeler's phrase that black holes have no hair. The simplified case for a non-rotating, uncharged black hole was proved by Werner Israel in 1967, and while the result has been extended to charged and spinning black holes under further assumptions, no fully general mathematical proof exists, so mathematicians still refer to it as the no-hair conjecture.
Facts
StatementAll stationary black hole solutions of the Einstein-Maxwell equations of gravitation and electromagnetism in general relativity can be completely characterized by only three independent externally observable classical parameters: mass, angular momentum, and electric charge. 1 Classification
Statement FormCharacterization Theorem 1 Connections
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Source No-hair theorem (Wikipedia)
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1. No-hair theorem (Wikipedia)
Lead paragraph
can be completely characterized by only three independent externally observable classical parameters: mass, angular momentum, and electric charge.
Lead
The first version of the no-hair theorem for the simplified case of the uniqueness of the Schwarzschild metric was shown by Werner Israel in 1967.
In Group: Relativity and Gravitation, Lead section
equations of gravitation and electromagnetism in general relativity can be completely characterized by only three
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