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General Relativity and Quantum Cosmology

arXiv:0711.2084 (gr-qc)
[Submitted on 13 Nov 2007]

Title:Gauge Drivers for the Generalized Harmonic Einstein Equations

Authors:Lee Lindblom, Keith D. Matthews, Oliver Rinne, Mark A. Scheel
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Abstract: The 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.
Comments: 17 pages, 9 figures
Subjects: General Relativity and Quantum Cosmology (gr-qc)
Cite as: arXiv:0711.2084 [gr-qc]
  (or arXiv:0711.2084v1 [gr-qc] for this version)
  https://doi.org/10.48550/arXiv.0711.2084
Journal reference: Phys.Rev.D77:084001,2008
Related DOI: https://doi.org/10.1103/PhysRevD.77.084001

Submission history

From: Lee Lindblom [view email]
[v1] Tue, 13 Nov 2007 23:33:36 UTC (159 KB)
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