A simple construction of initial data for multiple black holes

Details A simple construction of initial data for multiple black holes A simple construction of initial data for multiple black holes

1997-03-24

arxiv.org/abs/gr-qc/9703066v2

Phys.Rev.Lett.78:3606-3609,1997

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, LaTeX (RevTeX), minor changes, improved presentation, to appear in PRL

Scientific paper

10.1103/PhysRevLett.78.3606

We consider the initial data problem for several black holes in vacuum with arbitrary momenta and spins on a three space with punctures. We compactify the internal asymptotically flat regions to obtain a computational domain without inner boundaries. When treated numerically, this leads to a significant simplification over the conventional approach which is based on throats and isometry conditions. In this new setting it is possible to obtain existence and uniqueness of solutions to the Hamiltonian constraint.

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