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Phys. Rev. Lett. 85, 5500–5503 (2000)

Solving the Initial Value Problem of Two Black Holes

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Pedro Marronetti and Richard A. Matzner
Center for Relativity, The University of Texas at Austin, Austin, Texas 78712-1081

Received 31 August 2000; published in the issue dated 25 December 2000

We solve the elliptic equations associated with the Hamiltonian and momentum constraints, corresponding to a system composed of two black holes with arbitrary linear and angular momentum. These new solutions are based on a Kerr-Schild spacetime slicing which provides more physically realistic solutions than the initial data based on conformally flat metric/maximal slicing methods. The singularity/inner boundary problems are circumvented by a new technique that allows the use of an elliptic solver on a Cartesian grid where no points are excised, simplifying enormously the numerical problem.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.85.5500
DOI:
10.1103/PhysRevLett.85.5500
PACS:
04.70.Bw, 04.25.Dm