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Dynamical gauge conditions for the Einstein evolution equations

Lindblom, Lee and Scheel, Mark A. (2003) Dynamical gauge conditions for the Einstein evolution equations. Physical Review D, 67 (12). Art. No. 124005. ISSN 0556-2821. http://resolver.caltech.edu/CaltechAUTHORS:LINprd03

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Abstract

The Einstein evolution equations have previously been written in a number of symmetric hyperbolic forms when the gauge fields—the densitized lapse and the shift—are taken to be fixed functions of the coordinates. Extended systems of evolution equations are constructed here by adding the gauge degrees of freedom to the set of dynamical fields, thus forming symmetric hyperbolic systems for the combined evolution of the gravitational and the gauge fields. The associated characteristic speeds can be made causal (i.e., less than or equal to the speed of light) by adjusting 14 free parameters in these new systems, and 21 additional free parameters are available, for example, to optimize the stability of numerical evolutions. The gauge evolution equations in these systems are generalizations of the "K-driver" and "Gamma-driver" conditions that have been used with some success in numerical black hole evolutions.


Item Type:Article
Additional Information:©2003 The American Physical Society. (Received 31 January 2003; published 4 June 2003) We thank Michael Holst, Markus Keel, Lawrence Kidder, Harald Pfeiffer, and Manuel Tiglio for helpful conversations concerning this work. This research was supported in part by NSF grant PHY-0099568 and NASA grants NAG5-10707 and NAG5-12834.
Group:TAPIR
Subject Keywords:Einstein field equations; black holes; space-time configurations; gauge field theory; gravitation; hyperbolic equations
Record Number:CaltechAUTHORS:LINprd03
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:LINprd03
Alternative URL:http://dx.doi.org/10.1103/PhysRevD.67.124005
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:5750
Collection:CaltechAUTHORS
Deposited By: Lindsay Cleary
Deposited On:31 Oct 2006
Last Modified:26 Dec 2012 09:14

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