Constant Curvature Black Holes

TL;DR

This paper explores constant curvature black holes formed by identifying points in anti-de Sitter space, highlighting their unique topology and causal structure, especially in five dimensions within a supergravity framework.

Contribution

It introduces the construction of constant curvature black holes with novel topologies and analyzes their causal structures, particularly in five-dimensional supergravity contexts.

Findings

Different topology: R^{n-1} * S_1 versus R^2 * S_{n-2}

Unique causal diagrams in higher dimensions

Embedding in Chern-Simons supergravity for five dimensions

Abstract

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.