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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Spectral Flow in 3D Flat Spacetimes
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H-branes and chiral strings
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The geometry of null rotation identifications
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Black holes of (2 +1 )-dimensional f (R ) gravity coupled to a scalar field
TL;DR: In this article, a scalar field minimally coupled to gravity with a self-interacting potential in ($2+1$)-dimensions is considered and an exact black hole solution dressed with scalar hair with the scalar charge to appear in the $f(R)$ function is discussed.
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Holographic entropy of Warped-AdS 3 black holes
TL;DR: In this article, the authors studied the asymptotic symmetries of three-dimensional Warped Anti-de Sitter (WAdS) spaces in 3D New Massive Gravity (NMG) and found that the algebra of charges is infinite dimensional and coincides with the semidirect sum of Virasoro algebra with non-vanishing central charge and an affine u(1) k -moody algebra.
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.