Introduction to Isolated Horizons in Numerical Relativity

Abstract

We present a coordinate-independent method for extracting mass (M) and angular momentum (J) of a black hole in numerical simulations. This method, based on the isolated horizon framework, is applicable both at late times when the black hole has reached equilibrium, and at early times when the black holes are widely separated. We show how J and M can be determined in numerical simulations in terms of only those quantities which are intrinsic to the apparent horizon. We also present a numerical method for finding the rotational symmetry vector field (required to calculate J) on the horizon.

14 pages, revtex4, 7 figures. Final PRD version

References in corpus (6)

• Dynamical Horizons: Energy, Angular Momentum, Fluxes and Balance Laws
• Mechanics of Rotating Isolated Horizons
• Geometry of Generic Isolated Horizons
• Corotating and irrotational binary black holes in quasi-circular orbits
• Comparing initial-data sets for binary black holes
• A fast apparent horizon algorithm

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