Gauge conditions for binary black hole puncture data based on an approximate helical Killing vector

Details Gauge conditions for binary black hole puncture data based on an approximate helical Killing vector Gauge conditions for binary black hole puncture data based on an approximate helical Killing vector

2003-06-04

arxiv.org/abs/gr-qc/0306020v1

Phys.Rev.D68:064008,2003

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, 6 figures, 2 tables

Scientific paper

10.1103/PhysRevD.68.064008

We show that puncture data for quasicircular binary black hole orbits allow a special gauge choice that realizes some of the necessary conditions for the existence of an approximate helical Killing vector field. Introducing free parameters for the lapse at the punctures we can satisfy the condition that the Komar and ADM mass agree at spatial infinity. Several other conditions for an approximate Killing vector are then automatically satisfied, and the 3-metric evolves on a timescale smaller than the orbital timescale. The time derivative of the extrinsic curvature however remains significant. Nevertheless, quasicircular puncture data are not as far from possessing a helical Killing vector as one might have expected.

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