P.T. Chrusciel

Title: Open questions in black-hole uniqueness theory

Abstract: We review the current status of the theory of uniqueness of regular stationary vacuum black hole space-times: known key results are presented, open problems are pointed out. Amongst the former the key questions that remain to be settled are the analyticity across the event horizon, and the non-existence of non-connected regular solutions.

For further information concerning the problem at hand, see the following papers and references therein:

P.T. Chrusciel, ``No Hair'' Theorems - Folklore, Conjectures, Results
Differential Geometry and Mathematical Physics, Proceedings of the AMS-CMS special session on Geometric Methods in Mathematical Physics, August 15-19, 1993, Vancouver, British Columbia, J. Beem, K.L. Duggal, eds, Garching preprint MPA 792, Contemporary Mathematics 170, 23-49 (1994) [http://xxx.lanl.gov/abs/gr-qc/9402032].
P.T. Chrusciel, Uniqueness of black holes revisited
Proceedings of Journées Relativistes, Ascona, May 96, (N. Straumann, Ph. Jetzer and G. Lavrelashvili, eds), Helv. Phys. Acta 69, 529-552 (1996), Tours preprint 130/96 [http://xxx.lanl.gov/abs/gr-qc/9610010].
P.T. Chrusciel, Black holes
Tours preprint 1/2002, Proceedings of the Tuebingen symposium on the conformal structure of space-times, J. Frauendiener, H. Friedrich, Eds., Springer Lecture Notes in Physics, in press [http://xxx.lanl.gov/abs/gr-qc/0201053]

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