How to move a black hole without excision: gauge conditions for the numerical evolution of a moving puncture

Abstract

Recent demonstrations of unexcised black holes traversing across computational grids represent a significant advance in numerical relativity. Stable and accurate simulations of multiple orbits, and their radiated waves, result. This capability is critically undergirded by a careful choice of gauge. Here we present analytic considerations which suggest certain gauge choices, and numerically demonstrate their efficacy in evolving a single moving puncture black hole.

arXiv comment8 pages, 13 figures. Edited slightly for clarity as requested by the referee and editor. Also corrected errors due to a misplaced factor of alpha. Main results unchanged

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