A hyperbolic slicing condition adapted to Killing fields and densitized lapses
Abstract
We study the properties of a modified version of the Bona-Masso family of hyperbolic slicing conditions. This modified slicing condition has two very important features: In the first place, it guarantees that if a spacetime is static or stationary, and one starts the evolution in a coordinate system in which the metric coefficients are already time independent, then they will remain time independent during the subsequent evolution, {\em i.e.} the lapse will not evolve and will therefore not drive the time lines away from the Killing direction. Second, the modified condition is naturally adapted to the use of a densitized lapse as a fundamental variable, which in turn makes it a good candidate for a dynamic slicing condition that can be used in conjunction with some recently proposed hyperbolic reformulations of the Einstein evolution equations.
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Cite
@article{arxiv.gr-qc/0303069,
title = {A hyperbolic slicing condition adapted to Killing fields and densitized lapses},
author = {Miguel Alcubierre and Alejandro Corichi and Jose A. Gonzalez and Dario Nunez and Marcelo Salgado},
journal= {arXiv preprint arXiv:gr-qc/0303069},
year = {2009}
}
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11 pages