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Initial data and coordinates for multiple black hole systems

1998/05/07 by Richard A. Matzner, Mijan F. Huq, Deirdre Shoemaker · 1 citation
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Pulsars and Gravitational Waves Research #gr-qc

paper · pdf · doi:10.1103/physrevd.59.024015

published as Phys.Rev. D59 (1999) 024015

arxiv created 1998/05/07 · openalex publication_date 1998/12/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 nonrotating single black holes to multiple moving holes. Because this scheme preserves the Kerr-Schild form near the holes, it selects out the behavior 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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