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.

arXiv commentFinal version to appear in Classical and Quantum Gravity. One reference added

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Cited by in corpus (10)

• Binary-black-hole initial data with nearly-extremal spins
• Extremality conditions for isolated and dynamical horizons
• Mass and Angular Momentum in General Relativity
• From Geometry to Numerics: interdisciplinary aspects in mathematical and numerical relativity
• Nearly extremal apparent horizons in simulations of merging black holes
• An introduction to local Black Hole horizons in the 3+1 approach to General Relativity
• Non-Expanding horizons: Multipoles and the Symmetry Group
• Black Hole Spin Axis in Numerical Relativity
• Thermodynamics of Black Holes, far from Equilibrium
• Quasi-local spin-angular momentum and the construction of axial vector fields