Geometric inequalities for black holes

SERGIO DAIN

Varsovia

Conferencia; GR20; 2013

It is well known that the three parameters that characterize the Kerr black  hole (mass, angular momentum and horizon area) satisfy several important  inequalities. Remarkably, some of these inequalities remain valid also for  dynamical black holes. This kind of inequalities play an important role in  the characterization of the gravitational collapse. They are closed related  with the cosmic censorship conjecture. In this article recent results in this  subject are reviewed.