Symmetric hyperbolic form of systems of second-order evolution equations subject to constraints
General Relativity and Quantum Cosmology
2009-11-10 v1
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.
Keywords
Cite
@article{arxiv.gr-qc/0402079,
title = {Symmetric hyperbolic form of systems of second-order evolution equations subject to constraints},
author = {Carsten Gundlach and Jose M. Martin-Garcia},
journal= {arXiv preprint arXiv:gr-qc/0402079},
year = {2009}
}
Comments
13 pages, revtex4