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

James R. van Meter·John G. Baker·Michael Koppitz·Dae-Il Choi
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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.

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James R. van Meter, John G. Baker, Michael Koppitz, Dae-Il Choi. 2006-06-18. How to move a black hole without excision: gauge conditions for the numerical evolution of a moving puncture. https://doi.org/10.1103/physrevd.73.124011

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