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Extremal isolated horizons: A local uniqueness theorem. (English) Zbl 1028.83025

Isolated horizons, i.e. stationary null surfaces are studied for the vacuum and electro-vacuum case. The article concentrates on extremal horizons where the surface gravity vanishes. In the axisymmetric case all such horizons are given. The case of a general symmetric extremal isolated horizon is discussed.

MSC:

83C57 Black holes
83C75 Space-time singularities, cosmic censorship, etc.
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