Gauge Drivers for the Generalized Harmonic Einstein Equations

dc.creatorLindblom, Lee
dc.creatorMatthews, Keith D.
dc.creatorRinne, Oliver
dc.creatorScheel, Mark A.
dc.date2007-11-13
dc.date.accessioned2026-07-07T11:38:41Z
dc.date.available2026-07-07T11:38:41Z
dc.descriptionThe generalized harmonic representation of Einstein's equation is manifestly hyperbolic for a large class of gauge conditions. Unfortunately most of the useful gauges developed over the past several decades by the numerical relativity community are incompatible with the hyperbolicity of the equations in this form. This paper presents a new method of imposing gauge conditions that preserves hyperbolicity for a much wider class of conditions, including as special cases many of the standard ones used in numerical relativity: e.g., K-freezing, Gamma-freezing, Bona-Masso slicing, conformal Gamma-drivers, etc. Analytical and numerical results are presented which test the stability and the effectiveness of this new gauge driver evolution system.
dc.description17 pages, 9 figures
dc.identifierhttps://arxiv.org/abs/0711.2084
dc.identifierhttp://arxiv.org/abs/0711.2084
dc.identifierPhys.Rev.D77:084001,2008
dc.identifierdoi:10.1103/PhysRevD.77.084001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/199656
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleGauge Drivers for the Generalized Harmonic Einstein Equations
dc.typetext

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