Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1993-02-10
Phys.Rev.D48:1506-1525,1993
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
51 pages, (LaTex file, figures not included, for hard copy figures, contact: murphy@iassns.bitnet), Institute for Advanced Stu
Scientific paper
10.1103/PhysRevD.48.1506
The geometry of the spinning black holes of standard Einstein theory in 2+1 dimensions, with a negative cosmological constant and without couplings to matter, is analyzed in detail. It is shown that the black hole arises from identifications of points of anti-de Sitter space by a discrete subgroup of $SO(2,2)$. The generic black hole is a smooth manifold in the metric sense. The surface $r=0$ is not a curvature singularity but, rather, a singularity in the causal structure. Continuing past it would introduce closed timelike lines. However, simple examples show the regularity of the metric at $r=0$ to be unstable: couplings to matter bring in a curvature singularity there. Kruskal coordinates and Penrose diagrams are exhibited. Special attention is given to the limiting cases of (i) the spinless hole of zero mass, which differs from anti-de Sitter space and plays the role of the vacuum, and (ii) the spinning hole of maximal angular momentum . A thorough classification of the elements of the Lie algebra of $SO(2,2)$ is given in an Appendix.
Banados Maximo
Henneaux Marc
Teitelboim Claudio
Zanelli Jorge
No associations
LandOfFree
Geometry of the 2+1 Black Hole does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Geometry of the 2+1 Black Hole, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geometry of the 2+1 Black Hole will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-36474