3 Beyond Einstein-Maxwell2 Classification of Stationary Electrovac 2.2 The Uniqueness Theorems

2.3 Black Holes with Degenerate Horizons 

The uniqueness theorem outlined above applies exclusively to Killing horizons with non-vanishing surface gravity. In fact, the multi black hole solutions of Papapetrou [143Jump To The Next Citation Point In The Article] and Majumdar [128Jump To The Next Citation Point In The Article] illustrate that stationary EM black holes with degenerate Killing horizons need not belong to the Kerr-Newman family. In order to complete the classification of stationary electrovac black hole space-times one has to include the Papapetrou-Majumdar solutions, and to establish their uniqueness amongst the stationary configurations with degenerate, non-connected horizons. Some progress toward this goal was recently achieved by Chrusciel and Nadirashvili [42Jump To The Next Citation Point In The Article]; a complete proof is, however, not yet available (see also [90Jump To The Next Citation Point In The Article] for more information).

3 Beyond Einstein-Maxwell2 Classification of Stationary Electrovac 2.2 The Uniqueness Theorems

image Stationary Black Holes: Uniqueness and Beyond
Markus Heusler
http://www.livingreviews.org/lrr-1998-6
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