Geometry of Black Holes and Multi-Black-Holes in 2+1 dimensions

Lecture given at Raychaudhuri session," ICGC-95 conference, Pune (India), December 1995. Contents: I. Introduction II. (2+1)-Dimensional Initial Values in Stereographic Projection A. The single, non-rotating black hole B. Non-rotating multi-black-holes C. Black Hole" Universe Initial Values III. Time Development: Enter the Raychaudhuri Equation IV. Time Development in Stereographic Projection A. The BTZ black hole spacetime B. Multi-Black-Hole Spacetimes V. Black Holes with Angular Momentum VI. Analogous 3+1-Dimensional Black Holes VII. Conclusions