A Simple Construction of Initial Data for Multiple Black Holes
Abstract
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.
- Publication:
-
Physical Review Letters
- Pub Date:
- May 1997
- DOI:
- 10.1103/PhysRevLett.78.3606
- arXiv:
- arXiv:gr-qc/9703066
- Bibcode:
- 1997PhRvL..78.3606B
- Keywords:
-
- General Relativity and Quantum Cosmology
- E-Print:
- 4 pages, LaTeX (RevTeX), minor changes, improved presentation, to appear in PRL