The horizon of the BTZ black hole

Understand

This paper is a sequel of "Solvable symmetric black hole in anti de Sitter spaces" [arXiv:math.DG/0510442].

• In the latter, we described the BTZ black hole in every dimension by defining the singularity as the closed orbits of the Iwasawa subgroup of SO(2,n).
• In this article, we study the horizon of the black hole and we show that it is expressed as lateral classes of one point of the space.
• The computation is given in the four-dimensional case, but it makes no doubt that it can be generalized to any dimension.