Initial Data and Coordinates for Multiple Black Hole Systems
General Relativity and Quantum Cosmology
2009-10-31 v1
Abstract
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.
Cite
@article{arxiv.gr-qc/9805023,
title = {Initial Data and Coordinates for Multiple Black Hole Systems},
author = {Richard A. Matzner and Mijan F. Huq and Deirdre Shoemaker},
journal= {arXiv preprint arXiv:gr-qc/9805023},
year = {2009}
}