Introduction to Isolated Horizons in Numerical Relativity

Details Introduction to Isolated Horizons in Numerical Relativity Introduction to Isolated Horizons in Numerical Relativity

2002-06-03

arxiv.org/abs/gr-qc/0206008v2

Phys.Rev.D67:024018,2003

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, revtex4, 7 figures. Final PRD version

Scientific paper

10.1103/PhysRevD.67.024018

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.

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