1999/04/30 by Dieter R. Brill, Dieter Brill, Brill, Dieter · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Homotopy and Cohomology in Algebraic Topology #gr-qc
paper · pdf · doi:10.48550/arxiv.gr-qc/9904083
37 pages Latex2e including 17 LaTeX figures. Submitted to Proceedings of 2nd Samos Meeting on Cosmology Geometry and Relativity (Springer-Verlag) Typos crrected, section 4.3 (Multiple Black Holes with Angular Momentum) revised
openalex publication_date 1999/04/30 · arxiv created 1999/06/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Vacuum Einstein theory in three spacetime dimensions is locally trivial, but admits many solutions that are globally different, particularly if there is a negative cosmological constant. The classical theory of such locally "anti-de Sitter" spaces is treated in an elementary way, using visualizable models. Among the objects discussed are black holes, spaces with multiple black holes, their horizon structure, closed universes, and the topologies that are possible.