Solving the Initial Value Problem of two Black Holes

Details Solving the Initial Value Problem of two Black Holes Solving the Initial Value Problem of two Black Holes

2000-09-13

arxiv.org/abs/gr-qc/0009044v3

Phys.Rev.Lett.85:5500-5503,2000

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, 3 figures. Minor corrections, some points clarified, and one reference added. To appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.85.5500

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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