Black hole data via a Kerr-Schild approach

Nigel T. Bishop, Richard Isaacson, Manoj Maharaj, and Jeffrey Winicour
Phys. Rev. D 57, 6113 – Published 15 May 1998
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Abstract

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.

  • Received 26 November 1997

DOI:https://doi.org/10.1103/PhysRevD.57.6113

©1998 American Physical Society

Authors & Affiliations

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

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Issue

Vol. 57, Iss. 10 — 15 May 1998

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