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 ${\mathfrak{R}}^{n-1}\times S_1$, as opposed to the usual ${\mathfrak{R}}^2\times S_{n-2}$ Schwarzschild black hole, and the corresponding causal structure is displayed by an $\left(n-1\right)$-dimensional picture, as opposed to the usual two-dimensional Kruskal diagram. The five-dimensional case, which can be embedded in a Chern-Simons supergravity theory, is analyzed in detail.