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Numerical relativity has faced the problem that standard 3+1 simulations ofblack hole spacetimes without singularity excision and with singularityavoiding lapse and vanishing shift fail after an evolution time of around30-40M due to the so-called slice stretching. We discuss lapse and shiftconditions for the non-excision case that effectively cure slice stretching andallow run times of 1000M and more.Comment: 19 pages, 14 figures, REVTeX, Added a missing Acknowledgmen

Gauge conditions for long-term numerical black hole evolutions without excision