Solving the initial value problem of two black holes.


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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@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} }