8 AcknowledgmentsStationary Black Holes: Uniqueness and 6.4 The Uniqueness Theorem for

7 Conclusion

The fact that the stationary electrovac black holes are parametrized by their mass, angular momentum and electric charge is due to the distinguished structure of the Einstein-Maxwell equations in the presence of a Killing symmetry. In general, the classification of the stationary black hole space-times within a given matter model is a difficult task, involving the investigation of Einstein's equations with a low degree of symmetries. The variety of black hole configurations in the SU (2) Einstein-Yang-Mills system indicates that - in spite of its beautiful and intuitive content - the uniqueness theorem is a distinguished feature of electrovac space-times. In general, the stationary black hole solutions of self-gravitating matter fields are considerably less simple than one might have expected from the experience with the Einstein-Maxwell system.


8 AcknowledgmentsStationary Black Holes: Uniqueness and 6.4 The Uniqueness Theorem for

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