Hyperbolic Methods for Einstein's Equations
Abstract
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' equations by either removing some gauge freedoms from them, or by considering certain linear combinations of a subset of them.
 Publication:

Living Reviews in Relativity
 Pub Date:
 January 1998
 DOI:
 10.12942/lrr19983
 Bibcode:
 1998LRR.....1....3R
 Keywords:

 evolution equations;
 symmetric hyperbolic;
 mixed systems;
 initial value problem;
 initial boundary value problem;
 harmonic gauge;
 initial boundary value problem