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Solving the Initial Value Problem of two Black Holes

Pedro Marronetti·Richard A. Matzner
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Abstract

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.

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BibTeXRIS

Pedro Marronetti, Richard A. Matzner. 2000-11-30. Solving the Initial Value Problem of two Black Holes. https://doi.org/10.1103/physrevlett.85.5500

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