Numerical relativity has faced the problem that standard 3+1 simulations of black hole spacetimes without singularity excision and with singularity avoiding lapse and vanishing shift fail after an evolution time of around 30-40M due to the so-called slice stretching. We discuss lapse and shift conditions for the non-excision case that effectively cure slice stretching and allow run times of 1000M and more.
@article{arxiv.gr-qc/0206072,
title = {Gauge conditions for long-term numerical black hole evolutions without excision},
author = {Miguel Alcubierre and Bernd Bruegmann and Peter Diener and Michael Koppitz and Denis Pollney and Edward Seidel and Ryoji Takahashi},
journal= {arXiv preprint arXiv:gr-qc/0206072},
year = {2008}
}
Comments
19 pages, 14 figures, REVTeX, Added a missing Acknowledgment