Anti-de Sitter space and black holes

Anti-de Sitter space with identified points give rise to black-hole structures. This was first pointed out in three dimensions, and generalized to higher dimensions by Aminneborg et al. In this paper, we analyse several aspects of the five dimensional anti-de Sitter black hole including, its relation to thermal anti-de Sitter space, its embedding in a Chern-Simons supergravity theory, its global charges and holonomies, and the existence of Killing spinors.Comment: 15 pages (twocolumn), 2 Postscript figure

Charged solutions in 5d Chern-Simons supergravity

A family of solutions with mass and electric charge of five-dimensional Chern-Simons supergravity is displayed. The action contains an extra term that changes the value of the cosmological constant, as considered by Horava. It is shown that the solutions approach asymptotically the Reissner-Nordstrom spacetime. The role of the torsion tensor in providing charged solutions is stressed.Comment: Minor changes. To appear in PRD. 8 pages, RevTeX 4, two colum

Constant Curvature Black Holes

Constant curvature black holes are constructed by identifying points in anti-de Sitter space. In n dimensions, the resulting topology is R^{n-1} * S_1, as opposed to the usual R^2 * S_{n-2} Schwarzschild black hole, and the corresponding causal structure is displayed by a (n-1)-dimensional picture, as opposed to the usual 2-dimensional Kruskal diagram. The five dimensional case, which can be embedded in a Chern-Simons supergravity theory, is analyzed in detail.Comment: New references added and some improvements in the presentation introduced, 5 pages, 2 eps figures, REVTe

Black Hole Entropy in the Chern-Simons Formulation of 2+1 Gravity

We examine Carlip's derivation of the 2+1 Minkowskian black hole entropy. A simplified derivation of the boundary action -valid for any value of the level k- is given.Comment: 6 pages, RevTeX, minor changes. Old title "Some remarks on Carlip's derivation of the 2+1 black hole entropy". Version to appear in Phys. Rev.

Mass Generation and Symmetry Breaking in Chern-Simons Supergravity

We argue that the quartic fermionic potential of five-dimensional Chern-Simons supergravity induces spontaneous symmetry breaking, in a phenomenon bearing a close connection with the Nambu and Jona-Lasinio model.Comment: 5 pages, 1 eps figure. Corrected and added reference

Twisted sectors in three-dimensional gravity

Twisted sectors --solutions to the equations of motion with non-trivial monodromies-- of three dimensional Euclidean gravity are studied. We argue that upon quantization this new sector of the theory provides the necessary (and no more) degrees of freedom to account for the Bekenstein-Hawking entropy.Comment: An unnecessary restriction removed. To appear in PRD. Revtex, no figures, 20 p

Asymptotic Symmetry and the General Black Hole Solution in Ads_3 Gravity

We describe the Brown-Henneaux asymptotic symmetry of the general black holes in the Chern-Simons gauge theory of the gauge group $SL(2;{\bf R})_L\times SL(2;{\bf R})_R$. We make it clear that the vector-like subgroup $SL(2; {\bf R})_{L+R}$ plays an essential role in describing the asymptotic symmetry consistently. We find a quite general black hole solution in the $AdS_3$ gravity theory. The solution is specified by an infinite number of conserved quantities which constitute a family of mapping from $S^1$ to the gauge group. The BTZ black hole is one of the simplest case.Comment: 19 pages, no figur

Embeddings of the Virasoro algebra and black hole entropy

We consider embeddings of the Virasoro algebra into other Virasoro algebras with different central charges. A Virasoro algebra with central charge c (assumed to be a positive integer) and zero mode operator L_0 can be embedded into another Virasoro algebra with central charge one and zero mode operator c L_0. We point out that this provides a new route to investigate the black hole entropy problem in 2+1 dimensions.Comment: 4 pages (twocolumn), latex, no figures. Reference added. To appear in Phys.Rev.Let

Gauge Formulation of the Spinning Black Hole in (2+1)-Dimensional Anti-de Sitter Space

We compute the group element of SO(2,2) associated with the spinning black hole found by Ba\~nados, Teitelboim and Zanelli in (2+1)-dimensional anti-de Sitter space-time. We show that their metric is built with SO(2,2) gauge invariant quantities and satisfies Einstein's equations with negative cosmological constant everywhere except at $r=0$. Moreover, although the metric is singular on the horizons, the group element is continuous and possesses a kink there.Comment: 10 page