Using symmetric space techniques, we show that closed orbits of Iwasawa subgroups of SO(2, l - 1) naturally define the singularity of a black hole causal structure in anti-de Sitter spaces in l >= 3 dimensions. In particular, we recover for l = 3 the non-rotating massive BTZ black hole. The method presented here is very simple and in principle generalizable to any semi-simple symmetric space. (c) 2006 Elsevier B.V. All rights reserved.
Claessens, L., & Detournay, S. (2007). Solvable symmetric black holes in anti-de Sitter spaces. Journal of Geometry and Physics, 57(3), 991-998. https://doi.org/10.1016/j.geomphys.2006.08.002 (Original work published 2007)