Initial Data and Coordinates for Multiple Black Hole Systems

Details Initial Data and Coordinates for Multiple Black Hole Systems Initial Data and Coordinates for Multiple Black Hole Systems

1998-05-07

arxiv.org/abs/gr-qc/9805023v1

Phys.Rev. D59 (1999) 024015

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1103/PhysRevD.59.024015

We present here an alternative approach to data setting for spacetimes with multiple moving black holes generalizing the Kerr-Schild form for rotating or non-rotating single black holes to multiple moving holes. Because this scheme preserves the Kerr-Schild form near the holes, it selects out the behaviour of null rays near the holes, may simplify horizon tracking, and may prove useful in computational applications. For computational evolution, a discussion of coordinates (lapse function and shift vector) is given which preserves some of the properties of the single-hole Kerr-Schild form.

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