Exponential Decay for Small Non-Linear Perturbations of Expanding Flat Homogeneous Cosmologies

preprint1999arXivOpen access

Abstract

It is shown that during expanding phases of flat homogeneous cosmologies all small enough non-linear perturbations decay exponentially. This result holds for a large class of perfect fluid equations of state, but notably not for very ``stiff'' fluids as the pure radiation case.

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