I review evolutionary aspects of general relativity, in particular those related to the hyperbolic character of the field equations and to the applications or consequences that this property entails. I look at several approaches to obtaining symmetric hyperbolic systems of equations out of Einstein's equations by either removing some gauge freedoms from them, or by considering certain linear combinations of a subset of them.
Keywords: mixed systems, harmonic gauge, initial value problem, evolution equations, symmetric hyperbolic, initial boundary value problem
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Since a Living Reviews in Relativity article may evolve over time, please cite the access <date>, which uniquely identifies the version of the article you are referring to:
Oscar A. Reula,
"Hyperbolic Methods for Einstein's Equations",
Living Rev. Relativity 1, (1998), 3. URL (cited on <date>):
http://www.livingreviews.org/lrr-1998-3
ORIGINAL | http://www.livingreviews.org/lrr-1998-3 |
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Title | Hyperbolic Methods for Einstein's Equations |
Author | Oscar A. Reula |
Date | accepted 15 January 1998, published 26 January 1998 |