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APS » Journals » Phys. Rev. D » Volume 57 » Issue 10
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Phys. Rev. D 57, 6113–6118 (1998)

Black hole data via a Kerr-Schild approach

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Nigel T. Bishop1, Richard Isaacson2,3, Manoj Maharaj4, and Jeffrey Winicour2
1Department of Mathematics, Applied Mathematics and Astronomy, University of South Africa, P.O. Box 392, Pretoria 0003, South Africa
2Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennyslvania 15260
3Physics Division, National Science Foundation, Arlington, Virginia 22230
4Department of Mathematics and Applied Mathematics, University of Durban-Westville, Durban 4000, South Africa

Received 26 November 1997; published in the issue dated 15 May 1998

We present a new approach for setting initial Cauchy data for multiple black hole space-times. The method is based upon adopting an initially Kerr-Schild form of the metric. In the case of non-spinning holes, the constraint equations take a simple hierarchical form which is amenable to direct numerical integration. The feasibility of this approach is demonstrated by solving analytically the problem of initial data in a perturbed Schwarzschild geometry.

© 1998 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.57.6113
DOI:
10.1103/PhysRevD.57.6113
PACS:
04.20.Ex, 04.25.Dm, 04.25.Nx, 04.70.Bw
 
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