Geometry of the 2+1 black hole.
Máximo Bañados,Máximo Bañados,Marc Henneaux,Marc Henneaux,Claudio Teitelboim,Claudio Teitelboim,Jorge Zanelli,Jorge Zanelli +7 more
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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.Abstract:
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\char21{}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\char21{}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.read more
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The asymptotic dynamics of three-dimensional Einstein gravity with a negative cosmological constant
TL;DR: Liouville theory is shown to describe the asymptotic dynamics of three-dimensional Einstein gravity with a negative cosmological constant as mentioned in this paper, and the anti-de Sitter boundary conditions implement the constraints that reduce the WZW model to the Liouville model.
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Universal spectrum of 2d conformal field theory in the large c limit
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Microscopic formulation of black holes in string theory
TL;DR: In this paper, the authors review the microscopic formulation of the five-dimensional black hole of type IIB string theory in terms of the D1-D5 brane system and discuss some applications of the AdS/CFT correspondence in the context of black hole formation in three dimensions by thermal transition and by collision of point particles.
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The (2 + 1)-dimensional black hole
TL;DR: Banados, Teitelboim and Zanelli as discussed by the authors reviewed the classical and quantum properties of the (2 + 1)-dimensional (3 + 1) black hole and showed that it shares many of the characteristics of the Kerr black hole: it has an event horizon, an inner horizon, and an ergosphere; it occurs as an endpoint of gravitational collapse.
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Traversable wormholes via a double trace deformation
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References
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Gravitationally collapsing dust in 2+1 dimensions.
Robert B. Mann,Simon F. Ross +1 more
TL;DR: The circumstances under which gravitationally collapsing dust can form a black hole in three-dimensional spacetime are investigated.