The Cauchy Problem for the Einstein Equations
General Relativity and Quantum Cosmology
2011-04-21 v1
Abstract
Various aspects of the Cauchy problem for the Einstein equations are surveyed, with the emphasis on local solutions of the evolution equations. Particular attention is payed to giving a clear explanation of conceptual issues which arise in this context. The question of producing reduced systems of equations which are hyperbolic is examined in detail and some new results on that subject are presented. Relevant background from the theory of partial differential equations is also explained at some length
Cite
@article{arxiv.gr-qc/0002074,
title = {The Cauchy Problem for the Einstein Equations},
author = {H. Friedrich and A. D. Rendall},
journal= {arXiv preprint arXiv:gr-qc/0002074},
year = {2011}
}
Comments
98 pages