Horizon boundary condition for black hole spacetimes.

@article{Anninos1995HorizonBC,
  title={Horizon boundary condition for black hole spacetimes.},
  author={Anninos and Daues and Mass{\'o} and Seidel and Suen},
  journal={Physical review. D, Particles and fields},
  year={1995},
  volume={51 10},
  pages={
          5562-5578
        }
}
It was recently shown that spacetime singularities in numerical relativity could be avoided by excising a region inside the apparent horizon in numerical evolutions. In this paper we report on the details of the implementation of this scheme. The scheme is based on using (1)~a horizon locking coordinate which locks the coordinate system to the geometry, and (2)~a finite differencing scheme which respects the causal structure of the spacetime. We show that the horizon locking coordinate can be… CONTINUE READING

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