title: Solving the initial value problem of two black holes.
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.
authors.affiliation: Center for Relativity, The University of Texas at Austin, Austin, Texas 78712-1081, USA.
authors.forename: P
authors.initials: P
authors.lastname: Marronetti
authors.forename: R A
authors.initials: RA
authors.lastname: Matzner