Solvable symmetric black holes in anti-de Sitter spaces

Abstract

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.