Geometry of the 2+1 black hole.
TL;DR: 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.
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TL;DR: In this paper, the boundary stress tensor associated with a gravitating system in asymptotically anti-de Sitter space is computed, and the conformal anomalies in two and four dimensions are recovered.
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TL;DR: In this paper, a dual non-perturbative description for maximally extended Schwarzschild anti-de-Sitter spacetimes is proposed, which involves two copies of the conformal field theory associated to the AdS spacetime and an initial entangled state.
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Cites background or methods from "Geometry of the 2+1 black hole."
...It would be very nice to understand more precisely how to describe local processes in the interior in terms of the boundary theory....
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...This research was supported in part by DOE grant DE-FGO2-91ER40654, NSF grants PHY-9513835 and PHY99-07949, the Sloan Foundation and the David and Lucile Packard Foundation....
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...In the case of black holes that evaporate in finite time there are some residual correlations with the initial state....
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References
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TL;DR: The circumstances under which gravitationally collapsing dust can form a black hole in three-dimensional spacetime are investigated.
Abstract: We investigate the circumstances under which gravitationally collapsing dust can form a black hole in three-dimensional spacetime.
100 citations