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27 April 2024

» arxiv » gr-qc/0402079

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Symmetric hyperbolic form of systems of second-order evolution equations subject to constraints
Carsten Gundlach ; Jose M. Martin-Garcia ;
Date:	18 Feb 2004
Journal:	Phys.Rev. D70 (2004) 044031
Subject:	gr-qc
Abstract:	Motivated by the initial-boundary value problem for the Einstein equations, we propose a definition of symmetric hyperbolicity for systems of evolution equations that are first order in time but second order in space. This can be used to impose constraint-preserving boundary conditions. The general methods are illustrated in detail in the toy model of electromagnetism.
Source:	arXiv, gr-qc/0402079
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