Gauge Drivers for the Generalized Harmonic Einstein Equations

Details Gauge Drivers for the Generalized Harmonic Einstein Equations Gauge Drivers for the Generalized Harmonic Einstein Equations

2007-11-13

arxiv.org/abs/0711.2084v1

Phys.Rev.D77:084001,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, 9 figures

Scientific paper

10.1103/PhysRevD.77.084001

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.

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