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/lrr-1998-3
- Bibcode:
- 1998LRR.....1....3R
- Keywords:
-
- evolution equations;
- symmetric hyperbolic;
- mixed systems;
- initial value problem;
- initial boundary value problem;
- harmonic gauge;
- initial boundary value problem