A Simple Construction of Initial Data for Multiple Black Holes

@article{Brandt1997ASC,
  title={A Simple Construction of Initial Data for Multiple Black Holes},
  author={Steven Brandt and Bernd Bruegmann},
  journal={Physical Review Letters},
  year={1997},
  volume={78},
  pages={3606-3609}
}
Binary black hole spacetimes are one of the great challenges for numerical general relativity, even if no matter sources are present. Here we consider the problem of finding initial data for several black holes in vacuum with arbitrary momenta and spins. In general relativity, initial data on a hypersurface cannot be specified freely, because the Einstein equations give rise to four equations, three momentum constraints, and the Hamiltonian constraint that the initial data has to satisfy. The… 

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