A new gauge driver is introduced for the generalized harmonic (GH) representation of Einstein's equation. This new driver allows a rather general class of gauge conditions to be implemented in a way that maintains the hyperbolicity of the combined evolution system. This driver is more stable and effective, and unlike previous drivers, allows stable evolutions using the dual-frame evolution technique. Appropriate boundary conditions for this new gauge driver are constructed, and a new boundary condition for the ``gauge'' components of the spacetime metric in the GH Einstein system is introduced. The stability and effectiveness of this new gauge driver are demonstrated through numerical tests, which impose a new damped-wave gauge condition on the evolutions of single black-hole spacetimes.
@article{arxiv.0904.4873,
title = {An Improved Gauge Driver for the Generalized Harmonic Einstein System},
author = {Lee Lindblom and Bela Szilagyi},
journal= {arXiv preprint arXiv:0904.4873},
year = {2009}
}
Comments
v2: final version to be published in PRD; 15 pages, 5 figures