- Published 2000 in Physical review letters

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.

@article{Marronetti2000SolvingTI,
title={Solving the initial value problem of two black holes.},
author={Pedro Marronetti and Richard Matzner},
journal={Physical review letters},
year={2000},
volume={85 26 Pt 1},
pages={5500-3}
}