Quasi--local angular momentum of non--symmetric isolated and dynamical horizons from the conformal decomposition of the metric

Abstract

A new definition of quasi--local angular momentum of non--axisymmetric marginally outer trapped surfaces is proposed. It is based on conformal decomposition of the two--dimensional metric and the action of the group of conformal symmetries. The definition is completely general and agrees with the standard one in axi--symmetric surfaces.Comment: Final version to appear in Classical and Quantum Gravity. One reference adde