Evolution equations for a wide range of Einstein-matter systems
General Relativity and Quantum Cosmology
2020-10-28 v1
Abstract
We use an orthonormal frame approach to provide a general framework for the first order hyperbolic reduction of the Einstein equations coupled to a fairly generic class of matter models. Our analysis covers the special cases of dust and perfect fluid. We also provide a discussion of self-gravitating elastic matter. The frame is Fermi-Walker propagated and coordinates are chosen such as to satisfy the Lagrange condition. We show the propagation of the constraints of the Einstein-matter system.
Cite
@article{arxiv.2005.14678,
title = {Evolution equations for a wide range of Einstein-matter systems},
author = {Mikael Normann and Juan Valiente Kroon},
journal= {arXiv preprint arXiv:2005.14678},
year = {2020}
}