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We study the stability of cosmological scaling solutions within the class of spatially homogeneous cosmological models with a perfect fluid subject to the equation of state p_= (-1) _ (where is a constant satisfying 02/3, and particularly for realistic matter with >~1, the scaling solutions are unstable; essentially they are unstable to curvature perturbations, although they are stable to shear perturbations. We briefly discuss the physical consequences of these results.
Billyard et al. (Mon,) studied this question.