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ID: 475379.0, MPI für Gravitationsphysik / Astrophysical Relativity
Gauge and constraint degrees of freedom: from analytical to numerical approximations in General Relativity
Authors:Bona, C.; Alic, D.
Date of Publication (YYYY-MM-DD):2008
Title of Proceedings:Spanish Relativity Meeting - Encuentros Relativistas Españoles ERE2007 Relativistic Astrophysics and Cosmology Tenerife, Spring 2008
Start Page:69
End Page:80
Title of Series:EAS Publications Series
Volume (in Series):30
Name of Conference/Meeting:Spanish Relativity Meeting - Encuentros Relativistas Españoles ERE2007 Relativistic Astrophysics and Cosmology
Place of Conference/Meeting:Tenerife
(Start) Date of Conference/Meeting
 (YYYY-MM-DD):
2008
End Date of Conference/Meeting 
 (YYYY-MM-DD):
2008
Review Status:not specified
Audience:Not Specified
Abstract / Description:The harmonic formulation of Einstein's field equations is considered, where the gauge conditions are introduced as dynamical constraints. The difference between the fully constrained approach (used in analytical approximations) and the free evolution one (used in most numerical approximations) is pointed out. As a generalization, quasi-stationary gauge conditions are also discussed, including numerical experiments with the gauge-waves testbed. The complementary 3+1 approach is also considered, where constraints are related instead with energy and momentum first integrals and the gauge must be provided separately. The relationship between the two formalisms is discussed in a more general framework (Z4 formalism). Different strategies in black hole simulations follow when introducing singularity avoidance as a requirement. More flexible quasi-stationary gauge conditions are proposed in this context, which can be seen as generalizations of the current 'freezing shift' prescriptions.
External Publication Status:published
Document Type:Conference-Paper
Communicated by:Bernhard F. Schutz
Affiliations:MPI für Gravitationsphysik/Astrophysical Relativity
External Affiliations:A. Oscoz, E. Mediavilla and M. Serra-Ricart (eds)
Identifiers:LOCALID:arXiv:0710.4425
DOI:10.1051/eas:0830006
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