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.

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

References in corpus (6)

• Circular orbits and spin in black-hole initial data
• Approximate Killing Vectors on S^2
• A generalized Damour-Navier-Stokes equation applied to trapping horizons
• Angular momentum conservation for dynamical black holes
• Symmetric non-expanding horizons
• Isolated and dynamical horizons from a common perspective

Cited by in corpus (7)

• Binary-black-hole initial data with nearly-extremal spins
• Extremality conditions for isolated and dynamical horizons
• From Geometry to Numerics: interdisciplinary aspects in mathematical and numerical relativity
• Nearly extremal apparent horizons in simulations of merging black holes
• Non-Expanding horizons: Multipoles and the Symmetry Group
• Thermodynamics of Black Holes, far from Equilibrium
• Quasi-local spin-angular momentum and the construction of axial vector fields