The Einstein-Friedrich-nonlinear scalar field system and the stability of scalar field Cosmologies
General Relativity and Quantum Cosmology
2017-10-17 v4 Mathematical Physics
math.MP
Abstract
A frame representation is used to derive a first order quasi-linear symmetric hyperbolic system for a scalar field minimally coupled to gravity. This procedure is inspired by similar evolution equations introduced by Friedrich to study the Einstein-Euler system. The resulting evolution system is used to show that small nonlinear perturbations of expanding Friedman-Lema\^itre-Robertson-Walker backgrounds, with scalar field potentials satisfying certain future asymptotic conditions, decay exponentially to zero, in synchronous time.
Keywords
Cite
@article{arxiv.1006.3778,
title = {The Einstein-Friedrich-nonlinear scalar field system and the stability of scalar field Cosmologies},
author = {Artur Alho and Filipe C. Mena and Juan A. Valiente Kroon},
journal= {arXiv preprint arXiv:1006.3778},
year = {2017}
}
Comments
Version 4: Matches final published version