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arXiv · 1006.3778

The Einstein-Friedrich-nonlinear scalar field system and the stability of scalar field Cosmologies

Artur Alho·Filipe C. Mena·Juan A. Valiente Kroon
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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.

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Artur Alho, Filipe C. Mena, Juan A. Valiente Kroon. 2010-06-18. The Einstein-Friedrich-nonlinear scalar field system and the stability of scalar field Cosmologies. https://arxiv.org/abs/1006.3778

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