2005/10/20 by Claessens, Laurent, Detournay, Stéphane
#Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.math/0510442
Using symmetric space techniques, we show that closed orbits of the Iwasawa subgroups of SO(2,l-1) naturally define singularities 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.