Isolated horizons in numerical relativity: constructing the excised Kerr spacetime in Dirac gauge

Details Isolated horizons in numerical relativity: constructing the excised Kerr spacetime in Dirac gauge Isolated horizons in numerical relativity: constructing the excised Kerr spacetime in Dirac gauge

2010-02-25

arxiv.org/abs/1002.4720v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

3 pages, 1 figure; to appear in the proceedings of the 12th Marcel Grossmann meeting on general relativity

Scientific paper

Using a constrained formalism for Einstein equations in Dirac gauge, we propose to compute excised quasistationary initial data for black hole spacetimes in full general relativity. Vacuum spacetime settings are numerically constructed by using the isolated horizon formalism; we especially tackle the conformal metric part of our equations, assuming global stationarity. We show that a no-boundary treatment can be used on the horizon for the equation related to the conformal metric. We relate this finding to previous suggestions in the literature, and use our results to assess the widely used conformally flat approximation for computing black hole initial data.

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