Abstract
The cosmological 'no hair' conjecture states that the repulsive gravitational effect of a positive vacuum energy asymptotically leads to de Sitter geometry locally. Some restricted proofs have been given, but also some counterexamples showing that the 'no hair' conjecture has a limited validity. In this paper the author shows that vacuum-dominated cosmological models with eternal expansion, but which does not tend towards the de Sitter geometry, are dynamically unstable. Metrical perturbations of these models lead either to inflation or to collapse.
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