Instability of forever anisotropic, expanding, vacuum-dominated cosmological models

Mathematics – Logic

Scientific paper

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Astronomical Models, Big Bang Cosmology, Gravitational Effects, Anisotropic Media, Astronomical Coordinates, Dynamic Stability, Tensor Analysis, Vacuum Effects

Scientific paper

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 were presented showing that the 'no hair' conjecture has a limited validity. In this paper, it is shown that vacuum-dominated cosmological models with eternal expansion, but which do not tend toward the de Sitter geometry, are dynamically unstable. Metrical perturbations of these models lead either to inflation or to collapse.

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