If you are a beginner in the field, you might wish to start with the encyclopedia article "Stationary black holes" [pdf] [ps] [dvi], written in collaboration with Bobby Beig, to appear in the Encyclopedia of Mathematical Physics. You could then continue with an expanded version thereof, entitled "Black holes - an introduction", to appear in a centennial volume edited by A. Ashtekar [pdf] [ps] [dvi]

You can also find here my review paper on black holes, to appear in the Proceedings of the Tuebingen symposium on the conformal structure of space-times, edited by J. Frauendiener and H. Friedrich, Springer Lecture Notes in Physics. To get you a flavour of what is in there, here is the abstract:

This paper is concerned with several not-quantum aspects of black holes, with emphasis on theoretical and mathematical issues related to numerical modeling of black hole space-times. Part of the material has a review character, but some new results or proposals are also presented. We review the experimental evidence for existence of black holes. We propose a definition of black hole region for any theory governed by a symmetric hyperbolic system of equations. Our definition reproduces the usual one for gravity, and leads to the one associated with the Unruh metric in the case of Euler equations. We review the global conditions which have been used in the Scri-based definition of a black hole and point out the deficiencies of the Scri approach. Various results on the structure of horizons and apparent horizons are presented, and a new proof of semi-convexity of horizons based on a variational principle is given. Recent results on the classification of stationary singularity-free vacuum solutions are reviewed. Two new frameworks for discussing black holes are proposed: a ``naive approach", based on coordinate systems, and a ``quasi-local approach", based on timelike boundaries satisfying a null convexity condition. Some properties of the resulting black holes are established, including an area theorem, topology theorems, and an approximation theorem for the location of the horizon.

This paper is also available on the web as http://arxiv.org/abs/gr-qc/0201053 . My previous reviews on black holes,

  • ``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].
  • 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].

    are essentially disjoint from this one.

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