title: Area-angular-momentum inequality for axisymmetric black holes.
abstract: We prove the local inequality A≥8π|J|, where A and J are the area and angular momentum of any axially symmetric closed stable minimal surface in an axially symmetric maximal initial data. From this theorem it is proved that the inequality is satisfied for any surface on complete asymptotically flat maximal axisymmetric data. In particular it holds for marginal or event horizons of black holes. Hence, we prove the validity of this inequality for all dynamical (not necessarily near equilibrium) axially symmetric black holes.
authors.affiliation: Facultad de Matemática, Astronomía y Física, FaMAF, Universidad Nacional de Córdoba, Instituto de Física Enrique bodyGaviola, IFEG, CONICET, Córdoba, Argentina. dain@famaf.unc.edu.ar
authors.forename: Sergio
authors.initials: S
authors.lastname: Dain
authors.forename: Martin
authors.initials: M
authors.lastname: Reiris