The Einstein-Friedrich-nonlinear scalar field system and the stability of scalar field cosmologies
857 - 899 (42)
Advances in Theoretical and Mathematical Physics
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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-Lemaˆıtre-Robertson-Walker backgrounds, with scalar field potentials satisfying certain future asymptotic conditions, decay exponentially to zero, in synchronous time.
AuthorsVALIENTE KROON, JA; Alho, A; Mena, FC
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