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Phys. Rev. Lett. 78, 3606–3609 (1997)

A Simple Construction of Initial Data for Multiple Black Holes

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Steven Brandt and Bernd Brügmann
Max-Planck-Institut für Gravitationsphysik, Schlaatzweg 1, 14473 Potsdam, Germany

Received 11 February 1997; published in the issue dated 12 May 1997

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.

© 1997 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.78.3606
DOI:
10.1103/PhysRevLett.78.3606
PACS:
04.20.Ex, 04.25.Dm, 04.70.Bw, 95.30.Sf